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Author ID: defant.andreas Recent zbMATH articles by "Defant, Andreas"
Published as: Defant, Andreas; Defant, A.
Homepage: https://uol.de/mathematik/personen/profs/prof-dr-andreas-defant/
External Links: MGP · ResearchGate · dblp · GND
Documents Indexed: 117 Publications since 1980, including 4 Books
1 Contribution as Editor
Reviewing Activity: 23 Reviews
Co-Authors: 44 Co-Authors with 107 Joint Publications
843 Co-Co-Authors
all top 5

Serials

9 Studia Mathematica
9 Journal of Functional Analysis
6 Israel Journal of Mathematics
5 Archiv der Mathematik
5 Mathematische Annalen
5 Note di Matematica
4 Journal of Mathematical Analysis and Applications
4 Functiones et Approximatio. Commentarii Mathematici
4 Transactions of the American Mathematical Society
4 The Quarterly Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Zeitschrift
2 Journal d’Analyse Mathématique
2 Bulletin de la Société Royale des Sciences de Liège
2 Journal of Approximation Theory
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Proceedings of the American Mathematical Society
2 Positivity
2 Banach Journal of Mathematical Analysis
2 Analysis & PDE
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Houston Journal of Mathematics
1 Acta Arithmetica
1 Advances in Mathematics
1 Collectanea Mathematica
1 Indiana University Mathematics Journal
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Michigan Mathematical Journal
1 Constructive Approximation
1 Publicacions Matemàtiques
1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The Journal of Fourier Analysis and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España)
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Mathematical Proceedings of the Royal Irish Academy
1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas
1 Oberwolfach Reports
1 Lecture Notes in Mathematics
1 North-Holland Mathematics Studies
1 Vorlesungen aus dem Fachbereich Mathematik der Universität Essen
1 New Mathematical Monographs

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,226 times in 692 Documents Cited by Year
Tensor norms and operator ideals. Zbl 0774.46018
Defant, Andreas; Floret, Klaus
406
1993
The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive. Zbl 1235.32001
Defant, Andreas; Frerick, Leonhard; Ortega-Cerdà, Joaquim; Ounaïes, Myriam; Seip, Kristian
75
2011
Coordinatewise multiple summing operators in Banach spaces. Zbl 1205.46026
Defant, Andreas; Popa, Dumitru; Schwarting, Ursula
49
2010
Variants of the Mauray-Rosenthal theorem for quasi Köthe function spaces. Zbl 0994.47036
Defant, Andreas
43
2001
Bohr’s power series theorem and local Banach space theory. Zbl 1031.46014
Defant, Andreas; García, Domingo; Maestre, Manuel
38
2003
Bohr’s strip for vector valued Dirichlet series. Zbl 1154.32001
Defant, Andreas; García, Domingo; Maestre, Manuel; Pérez-García, David
34
2008
A new multilinear insight on Littlewood’s 4/3-inequality. Zbl 1171.46034
Defant, Andreas; Sevilla-Peris, Pablo
29
2009
A logarithmic lower bound for multi-dimensional Bohr radii. Zbl 1124.32003
Defant, Andreas; Frerick, Leonhard
26
2006
Unconditional basis and Gordon-Lewis constants for spaces of polynomials. Zbl 0986.46031
Defant, Andreas; Diaz, Juan Carlos; García, Domingo; Maestre, Manuel
23
2001
Bohr radii of vector valued holomorphic functions. Zbl 1252.32001
Defant, Andreas; Maestre, Manuel; Schwarting, Ursula
23
2012
Dirichlet series and holomorphic functions in high dimensions. Zbl 1460.30004
Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
21
2019
Maximal theorems of Menchoff–Rademacher type in non-commutative \(L_{q}\)-spaces. Zbl 1069.46033
Defant, Andreas; Junge, Marius
17
2004
Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables. Zbl 1180.32002
Defant, Andreas; Maestre, Manuel; Prengel, Christopher
17
2009
Maurey–Rosenthal factorization of positive operators and convexity. Zbl 1066.47015
Defant, A.; Sánchez Pérez, E. A.
16
2004
A tensor norm preserving unconditionality for \({\mathcal L}_p\)-spaces. Zbl 1159.46045
Defant, Andreas; Pérez-García, David
16
2008
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables. Zbl 1371.46031
Bayart, Frédéric; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla-Peris, Pablo
15
2017
Tensor products and spaces of vector-valued continuous functions. Zbl 0601.46064
Defant, Andreas; Govaerts, Willy
14
1986
Summing inclusion maps between symmetric sequence spaces, a survey. Zbl 1025.47014
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
13
2001
Estimates for the first and second Bohr radii of Reinhardt domains. Zbl 1049.32001
Defant, Andreas; García, Domingo; Maestre, Manuel
12
2004
Summing inclusion maps between symmetric sequence spaces. Zbl 1020.47019
Defant, Andreas; Mastylo, Mieczyslaw; Michels, Carsten
12
2002
Bohr’s absolute convergence problem for \(\mathcal{H}_p\)-Dirichlet series in Banach spaces. Zbl 1294.30008
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
10
2014
Harald Bohr meets Stefan Banach. Zbl 1130.46028
Defant, Andreas; Prengel, Christopher
10
2006
The Bohnenblust-Hille cycle of ideas from a modern point of view. Zbl 1294.30009
Defant, Andreas; Sevilla-Peris, Pablo
9
2014
Unconditionality in spaces of \(m\)-homogeneous polynomials. Zbl 1120.46025
Defant, Andreas; Kalton, Nigel
9
2005
Summing norms of identities between unitary ideals. Zbl 1094.47032
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
8
2006
Hardy spaces of vector-valued Dirichlet series. Zbl 1404.46040
Defant, Andreas; Pérez, Antonio
8
2018
A complex interpolation formula for tensor products of vector-valued Banach function spaces. Zbl 1008.46027
Defant, Andreas; Michels, Carsten
8
2000
Property (BB) and holomorphic functions on Fréchet-Montel spaces. Zbl 0847.46021
Defant, Andreas; Maestre, Manuel
8
1994
\(\mathcal{H}_p \)-theory of general Dirichlet series. Zbl 1429.43004
Defant, Andreas; Schoolmann, Ingo
7
2019
The Bohr radius of the unit ball of \(\ell_p^n\). Zbl 1241.32001
Defant, Andreas; Frerick, Leonhard
7
2011
Maximum moduli of unimodular polynomials. Zbl 1050.32003
Defant, Andreas; García, Domingo; Maestre, Manuel
7
2004
On tensor stable operator ideals. Zbl 0669.47025
Carl, B.; Defant, A.; Ramanujan, M. S.
7
1989
Domination of operators on function spaces. Zbl 1176.47027
Defant, A.; Sánchez Pérez, E. A.
7
2009
Tensor products and Grothendieck type inequalities of operators in \(L_ p\)-spaces. Zbl 0785.47021
Carl, Bernd; Defant, Andreas
7
1992
Variants of a theorem of Helson on general Dirichlet series. Zbl 1470.43006
Defant, Andreas; Schoolmann, Ingo
6
2020
Norms of tensor product identities. Zbl 1223.46065
Defant, Andreas; Michels, Carsten
6
2006
Orlicz norm estimates for eigenvalues of matrices. Zbl 1023.46020
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
6
2002
Volume estimates in spaces of homogeneous polynomials. Zbl 1171.46033
Defant, Andreas; Prengel, Christopher
6
2009
Tensor products of Fréchet or (DF)-spaces with a Banach space. Zbl 0776.46029
Bonet, José; Defant, Andreas; Galbis, Antonio
6
1992
Asymptotic estimates for approximation quantities of tensor product identities. Zbl 0892.46075
Carl, Bernd; Defant, Andreas
6
1997
Convergence of Dirichlet polynomials in Banach spaces. Zbl 1220.46029
Defant, Andreas; Sevilla-Peris, Pablo
5
2011
On Pitt’s theorem for operators between scalar and vector-valued quasi-Banach sequence spaces. Zbl 0995.46016
Defant, A.; López Molina, J. A.; Rivera, M. J.
5
2000
A note on abscissas of Dirichlet series. Zbl 1429.30004
Defant, Andreas; Pérez, Antonio; Sevilla-Peris, Pablo
5
2019
Cotype 2 estimates for spaces of polynomials on sequence spaces. Zbl 1009.46032
Defant, Andreas; Maestre, Manuel; Sevilla-Peris, Pablo
5
2002
Estimates for vector valued Dirichlet polynomials. Zbl 1300.30008
Defant, Andreas; Schwarting, Ursula; Sevilla-Peris, Pablo
5
2014
Classical summation in commutative and noncommutative \(L_p\)-spaces. Zbl 1267.46002
Defant, Andreas
5
2011
Topological tensor products and the approximation property of locally convex spaces. Zbl 0677.46057
Defant, Andreas; Floret, Klaus
5
1989
The local Radon-Nikodym property for duals of locally convex spaces. Zbl 0556.46004
Defant, Andreas
5
1984
Extension of multilinear forms and polynomials from subspaces of \({\mathcal L}_1\)-spaces. Zbl 1139.46007
Defant, Andreas; García, Domingo; Maestre, Manuel; Pérez-García, David
5
2007
A duality theorem for locally convex tensor products. Zbl 0551.46050
Defant, Andreas
5
1985
The Bohnenblust-Hille inequality combined with an inequality of Helson. Zbl 1329.32001
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
5
2015
Factorization and extension of positive homogeneous polynomials. Zbl 1303.47078
Defant, Andreas; Mastyło, Mieczysław
4
2014
Local complementation and the extension of bilinear mappings. Zbl 1245.46036
Castillo, J. M. F.; Garcia, R.; Defant, A.; Pérez-García, D.; Suárez, J.
4
2012
Applications of summing inclusion maps to interpolation of operators. Zbl 1046.46019
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
4
2003
Bohr’s strips for Dirichlet series in Banach spaces. Zbl 1227.30003
Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
4
2011
Interpolation of Fremlin tensor products and Schur factorization of matrices. Zbl 1252.46013
Defant, Andreas; Mastyło, Mieczysław
4
2012
Polynomials in operator space theory. Zbl 1305.46040
Defant, Andreas; Wiesner, Dirk
4
2014
Bornological and ultrabornological spaces of typ \(C(X,F)\) and \(E \in F\). Zbl 0525.46024
Defant, Andreas; Govaerts, Willy
4
1984
The precompactness-lemma for sets of operators. Zbl 0545.46007
Defant, Andreas; Floret, Klaus
4
1984
New strips of convergence for Dirichlet series. Zbl 1207.30001
Defant, Andreas; García, Domingo; Maestre, Manuel
4
2010
The arithmetic Bohr radius. Zbl 1147.32002
Defant, Andreas; Maestre, Manuel; Prengel, Christopher
4
2008
Best constants and asymptotics of Marcinkiewicz-Zygmund inequalities. Zbl 0916.47018
Defant, Andreas; Junge, Marius
4
1997
Optimal comparison of the \(p\)-norms of Dirichlet polynomials. Zbl 1430.11113
Defant, A.; Pérez, A.
4
2017
Some polynomial versions of cotype and applications. Zbl 1335.46038
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
4
2016
On interpolation of tensor products of Banach spaces. Zbl 1079.46049
Defant, A.; Mastyło, M.; Michels, C.
3
2003
Eigenvalue estimates for operators on symmetric Banach sequence spaces. Zbl 1052.47011
Defant, Andreas; Mastylo, Mieczyslaw; Michels, Carsten
3
2004
The Levy-Steinitz rearrangement theorem for duals of metrizable spaces. Zbl 0957.46003
Bonet, José; Defant, Andreas
3
2000
Bohr’s radii and strips – a microscopic and a macroscopic view. Zbl 1258.30003
Defant, Andreas; Schwarting, Ursula
3
2011
On the injective tensorproduct of (DF)-spaces. Zbl 0786.46058
Defant, Andreas; Floret, Klaus; Taskinen, Jari
3
1991
Projective tensor products of distinguished Fréchet spaces. Zbl 0575.46055
Bonet, José; Defant, Andreas
3
1986
Almost sure-sign convergence of Hardy-type Dirichlet series. Zbl 1395.30002
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
3
2018
Bohr’s phenomenon for functions on the Boolean cube. Zbl 1491.94088
Defant, Andreas; Mastyło, Mieczysław; Pérez, Antonio
3
2018
Riesz means in Hardy spaces on Dirichlet groups. Zbl 1483.43006
Defant, Andreas; Schoolmann, Ingo
3
2020
Hardy spaces of general Dirichlet series — a survey. Zbl 1440.43006
Defant, Andreas; Schoolmann, Ingo
2
2019
On the Fourier spectrum of functions on Boolean cubes. Zbl 1481.94165
Defant, Andreas; Mastyło, Mieczysław; Pérez, Antonio
2
2019
An elementary approach to an eigenvalue estimate for matrices. Zbl 0965.15018
Carl, Bernd; Defant, Andreas
2
2000
Composition of \((E,2)\)-summing operators. Zbl 1065.47019
Defant, Andreas; Mastyło, Mieczysław
2
2003
Convergence of monomial expansions in Banach spaces. Zbl 1258.46016
Defant, Andreas; Sevilla-Peris, Pablo
2
2012
Aspects of the metric theory of tensor products and operator ideals. Zbl 0714.46052
Defant, Andreas; Floret, Klaus
2
1988
Norm estimates for random polynomials on the scale of Orlicz spaces. Zbl 1400.46040
Defant, Andreas; Mastyło, Mieczysław
2
2017
Translation invariant maps on function spaces over locally compact groups. Zbl 1470.43004
Defant, A.; Mastyło, M.; Sánchez-Pérez, E. A.; Steinwart, I.
2
2019
The Dirichlet-Bohr radius. Zbl 1379.11078
Carando, Daniel; Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
2
2015
\(L^p\)-norms and Mahler’s measure of polynomials on the \(n\)-dimensional torus. Zbl 1359.11083
Defant, Andreas; Mastyło, Mieczysław
2
2016
Bohnenblust-Hille inequalities for Lorentz spaces via interpolation. Zbl 1357.46037
Defant, Andreas; Mastyło, Mieczysław
2
2016
Vector-valued general Dirichlet series. Zbl 1468.30015
Carando, Daniel; Defant, Andreas; Marceca, Felipe; Schoolmann, Ingo
2
2021
Fréchet spaces of general Dirichlet series. Zbl 1479.46004
Defant, Andreas; Fernández Vidal, Tomás; Schoolmann, Ingo; Sevilla-Peris, Pablo
2
2021
On unconditional bases in spaces of holomorphic functions in infinite dimensions. Zbl 0706.46028
Defant, Andreas; Morales, Luiza A.
1
1991
Monomial convergence for holomorphic functions on \(\ell_r\). Zbl 1435.46033
Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke
1
2019
Extension and splitting theorems for Fréchet spaces of type 2. Zbl 0962.46005
Defant, A.; Domański, P.; Mastyło, M.
1
1999
Henry Helson meets other big shots – a brief survey. Zbl 1440.43007
Defant, Andreas; Schoolmann, Ingo
1
2019
Unconditionality for \(m\)-homogeneous polynomials on \(\ell_{\infty}^{n}\). Zbl 1352.46043
Defant, Andreas; Sevilla-Peris, Pablo
1
2016
A vector-valued Grothendieck inequality with an application to \((p,q)\)-completely bounded operators. Zbl 0937.46008
Defant, Andreas; Junge, Marius
1
1999
Barrelledness and nuclearity. Zbl 0536.46001
Defant, Andreas
1
1985
Localization and duality of topological tensor-products. Zbl 0589.46056
Defant, Andreas; Floret, Klaus
1
1984
Local solvability of the \(\bar\partial\)-equation on \({\mathcal{L}}_1\)-spaces. Zbl 1143.32021
Defant, Andreas; Zerhusen, Aaron
1
2008
Limit orders of \(\epsilon\) \(\pi\)-continuous operators. Zbl 0726.47011
Defant, Andreas; Mascioni, Vania
1
1990
Best constants for the norm of the complexification of operators between \(L_ p\)-spaces. Zbl 0793.47035
Defant, Andreas
1
1993
Surjective \({\mathbf A}\)-compactness and generalized Kolmogorov numbers. Zbl 0803.47024
Defant, A.; Ramanujan, M. S.
1
1991
Continuity of tensor product operators between spaces of Bochner integrable functions. Zbl 0783.47041
Defant, Andreas; Floret, Klaus
1
1992
Tensornorm techniques for the (DF)-space problem. Zbl 0786.46057
Defant, A.; Floret, K.
1
1990
Vector-valued general Dirichlet series. Zbl 1468.30015
Carando, Daniel; Defant, Andreas; Marceca, Felipe; Schoolmann, Ingo
2
2021
Fréchet spaces of general Dirichlet series. Zbl 1479.46004
Defant, Andreas; Fernández Vidal, Tomás; Schoolmann, Ingo; Sevilla-Peris, Pablo
2
2021
Variants of a theorem of Helson on general Dirichlet series. Zbl 1470.43006
Defant, Andreas; Schoolmann, Ingo
6
2020
Riesz means in Hardy spaces on Dirichlet groups. Zbl 1483.43006
Defant, Andreas; Schoolmann, Ingo
3
2020
Dirichlet series and holomorphic functions in high dimensions. Zbl 1460.30004
Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
21
2019
\(\mathcal{H}_p \)-theory of general Dirichlet series. Zbl 1429.43004
Defant, Andreas; Schoolmann, Ingo
7
2019
A note on abscissas of Dirichlet series. Zbl 1429.30004
Defant, Andreas; Pérez, Antonio; Sevilla-Peris, Pablo
5
2019
Hardy spaces of general Dirichlet series — a survey. Zbl 1440.43006
Defant, Andreas; Schoolmann, Ingo
2
2019
On the Fourier spectrum of functions on Boolean cubes. Zbl 1481.94165
Defant, Andreas; Mastyło, Mieczysław; Pérez, Antonio
2
2019
Translation invariant maps on function spaces over locally compact groups. Zbl 1470.43004
Defant, A.; Mastyło, M.; Sánchez-Pérez, E. A.; Steinwart, I.
2
2019
Monomial convergence for holomorphic functions on \(\ell_r\). Zbl 1435.46033
Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke
1
2019
Henry Helson meets other big shots – a brief survey. Zbl 1440.43007
Defant, Andreas; Schoolmann, Ingo
1
2019
Hardy spaces of vector-valued Dirichlet series. Zbl 1404.46040
Defant, Andreas; Pérez, Antonio
8
2018
Almost sure-sign convergence of Hardy-type Dirichlet series. Zbl 1395.30002
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
3
2018
Bohr’s phenomenon for functions on the Boolean cube. Zbl 1491.94088
Defant, Andreas; Mastyło, Mieczysław; Pérez, Antonio
3
2018
Dirichlet series from the infinite dimensional point of view. Zbl 1494.30005
Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
1
2018
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables. Zbl 1371.46031
Bayart, Frédéric; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla-Peris, Pablo
15
2017
Optimal comparison of the \(p\)-norms of Dirichlet polynomials. Zbl 1430.11113
Defant, A.; Pérez, A.
4
2017
Norm estimates for random polynomials on the scale of Orlicz spaces. Zbl 1400.46040
Defant, Andreas; Mastyło, Mieczysław
2
2017
Non-symmetric polarization. Zbl 1354.46047
Defant, Andreas; Schlüters, Sunke
1
2017
Some polynomial versions of cotype and applications. Zbl 1335.46038
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
4
2016
\(L^p\)-norms and Mahler’s measure of polynomials on the \(n\)-dimensional torus. Zbl 1359.11083
Defant, Andreas; Mastyło, Mieczysław
2
2016
Bohnenblust-Hille inequalities for Lorentz spaces via interpolation. Zbl 1357.46037
Defant, Andreas; Mastyło, Mieczysław
2
2016
Unconditionality for \(m\)-homogeneous polynomials on \(\ell_{\infty}^{n}\). Zbl 1352.46043
Defant, Andreas; Sevilla-Peris, Pablo
1
2016
The Bohnenblust-Hille inequality combined with an inequality of Helson. Zbl 1329.32001
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
5
2015
The Dirichlet-Bohr radius. Zbl 1379.11078
Carando, Daniel; Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
2
2015
Bohr’s absolute convergence problem for \(\mathcal{H}_p\)-Dirichlet series in Banach spaces. Zbl 1294.30008
Carando, Daniel; Defant, Andreas; Sevilla-Peris, Pablo
10
2014
The Bohnenblust-Hille cycle of ideas from a modern point of view. Zbl 1294.30009
Defant, Andreas; Sevilla-Peris, Pablo
9
2014
Estimates for vector valued Dirichlet polynomials. Zbl 1300.30008
Defant, Andreas; Schwarting, Ursula; Sevilla-Peris, Pablo
5
2014
Factorization and extension of positive homogeneous polynomials. Zbl 1303.47078
Defant, Andreas; Mastyło, Mieczysław
4
2014
Polynomials in operator space theory. Zbl 1305.46040
Defant, Andreas; Wiesner, Dirk
4
2014
Dirichlet series and function theory in polydiscs. Abstracts from the workshop held February 9–15, 2014. Zbl 1349.00133
1
2014
Bohr radii of vector valued holomorphic functions. Zbl 1252.32001
Defant, Andreas; Maestre, Manuel; Schwarting, Ursula
23
2012
Local complementation and the extension of bilinear mappings. Zbl 1245.46036
Castillo, J. M. F.; Garcia, R.; Defant, A.; Pérez-García, D.; Suárez, J.
4
2012
Interpolation of Fremlin tensor products and Schur factorization of matrices. Zbl 1252.46013
Defant, Andreas; Mastyło, Mieczysław
4
2012
Convergence of monomial expansions in Banach spaces. Zbl 1258.46016
Defant, Andreas; Sevilla-Peris, Pablo
2
2012
The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive. Zbl 1235.32001
Defant, Andreas; Frerick, Leonhard; Ortega-Cerdà, Joaquim; Ounaïes, Myriam; Seip, Kristian
75
2011
The Bohr radius of the unit ball of \(\ell_p^n\). Zbl 1241.32001
Defant, Andreas; Frerick, Leonhard
7
2011
Convergence of Dirichlet polynomials in Banach spaces. Zbl 1220.46029
Defant, Andreas; Sevilla-Peris, Pablo
5
2011
Classical summation in commutative and noncommutative \(L_p\)-spaces. Zbl 1267.46002
Defant, Andreas
5
2011
Bohr’s strips for Dirichlet series in Banach spaces. Zbl 1227.30003
Defant, Andreas; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
4
2011
Bohr’s radii and strips – a microscopic and a macroscopic view. Zbl 1258.30003
Defant, Andreas; Schwarting, Ursula
3
2011
Coordinatewise multiple summing operators in Banach spaces. Zbl 1205.46026
Defant, Andreas; Popa, Dumitru; Schwarting, Ursula
49
2010
New strips of convergence for Dirichlet series. Zbl 1207.30001
Defant, Andreas; García, Domingo; Maestre, Manuel
4
2010
A new multilinear insight on Littlewood’s 4/3-inequality. Zbl 1171.46034
Defant, Andreas; Sevilla-Peris, Pablo
29
2009
Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables. Zbl 1180.32002
Defant, Andreas; Maestre, Manuel; Prengel, Christopher
17
2009
Domination of operators on function spaces. Zbl 1176.47027
Defant, A.; Sánchez Pérez, E. A.
7
2009
Volume estimates in spaces of homogeneous polynomials. Zbl 1171.46033
Defant, Andreas; Prengel, Christopher
6
2009
Bohr’s strip for vector valued Dirichlet series. Zbl 1154.32001
Defant, Andreas; García, Domingo; Maestre, Manuel; Pérez-García, David
34
2008
A tensor norm preserving unconditionality for \({\mathcal L}_p\)-spaces. Zbl 1159.46045
Defant, Andreas; Pérez-García, David
16
2008
The arithmetic Bohr radius. Zbl 1147.32002
Defant, Andreas; Maestre, Manuel; Prengel, Christopher
4
2008
Local solvability of the \(\bar\partial\)-equation on \({\mathcal{L}}_1\)-spaces. Zbl 1143.32021
Defant, Andreas; Zerhusen, Aaron
1
2008
Extension of multilinear forms and polynomials from subspaces of \({\mathcal L}_1\)-spaces. Zbl 1139.46007
Defant, Andreas; García, Domingo; Maestre, Manuel; Pérez-García, David
5
2007
A logarithmic lower bound for multi-dimensional Bohr radii. Zbl 1124.32003
Defant, Andreas; Frerick, Leonhard
26
2006
Harald Bohr meets Stefan Banach. Zbl 1130.46028
Defant, Andreas; Prengel, Christopher
10
2006
Summing norms of identities between unitary ideals. Zbl 1094.47032
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
8
2006
Norms of tensor product identities. Zbl 1223.46065
Defant, Andreas; Michels, Carsten
6
2006
Unconditionality in spaces of \(m\)-homogeneous polynomials. Zbl 1120.46025
Defant, Andreas; Kalton, Nigel
9
2005
Maximal theorems of Menchoff–Rademacher type in non-commutative \(L_{q}\)-spaces. Zbl 1069.46033
Defant, Andreas; Junge, Marius
17
2004
Maurey–Rosenthal factorization of positive operators and convexity. Zbl 1066.47015
Defant, A.; Sánchez Pérez, E. A.
16
2004
Estimates for the first and second Bohr radii of Reinhardt domains. Zbl 1049.32001
Defant, Andreas; García, Domingo; Maestre, Manuel
12
2004
Maximum moduli of unimodular polynomials. Zbl 1050.32003
Defant, Andreas; García, Domingo; Maestre, Manuel
7
2004
Eigenvalue estimates for operators on symmetric Banach sequence spaces. Zbl 1052.47011
Defant, Andreas; Mastylo, Mieczyslaw; Michels, Carsten
3
2004
Bohr’s power series theorem and local Banach space theory. Zbl 1031.46014
Defant, Andreas; García, Domingo; Maestre, Manuel
38
2003
Applications of summing inclusion maps to interpolation of operators. Zbl 1046.46019
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
4
2003
On interpolation of tensor products of Banach spaces. Zbl 1079.46049
Defant, A.; Mastyło, M.; Michels, C.
3
2003
Composition of \((E,2)\)-summing operators. Zbl 1065.47019
Defant, Andreas; Mastyło, Mieczysław
2
2003
Summing inclusion maps between symmetric sequence spaces. Zbl 1020.47019
Defant, Andreas; Mastylo, Mieczyslaw; Michels, Carsten
12
2002
Orlicz norm estimates for eigenvalues of matrices. Zbl 1023.46020
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
6
2002
Cotype 2 estimates for spaces of polynomials on sequence spaces. Zbl 1009.46032
Defant, Andreas; Maestre, Manuel; Sevilla-Peris, Pablo
5
2002
Variants of the Mauray-Rosenthal theorem for quasi Köthe function spaces. Zbl 0994.47036
Defant, Andreas
43
2001
Unconditional basis and Gordon-Lewis constants for spaces of polynomials. Zbl 0986.46031
Defant, Andreas; Diaz, Juan Carlos; García, Domingo; Maestre, Manuel
23
2001
Summing inclusion maps between symmetric sequence spaces, a survey. Zbl 1025.47014
Defant, Andreas; Mastyło, Mieczysław; Michels, Carsten
13
2001
A complex interpolation formula for tensor products of vector-valued Banach function spaces. Zbl 1008.46027
Defant, Andreas; Michels, Carsten
8
2000
On Pitt’s theorem for operators between scalar and vector-valued quasi-Banach sequence spaces. Zbl 0995.46016
Defant, A.; López Molina, J. A.; Rivera, M. J.
5
2000
The Levy-Steinitz rearrangement theorem for duals of metrizable spaces. Zbl 0957.46003
Bonet, José; Defant, Andreas
3
2000
An elementary approach to an eigenvalue estimate for matrices. Zbl 0965.15018
Carl, Bernd; Defant, Andreas
2
2000
Extension and splitting theorems for Fréchet spaces of type 2. Zbl 0962.46005
Defant, A.; Domański, P.; Mastyło, M.
1
1999
A vector-valued Grothendieck inequality with an application to \((p,q)\)-completely bounded operators. Zbl 0937.46008
Defant, Andreas; Junge, Marius
1
1999
Asymptotic estimates for approximation quantities of tensor product identities. Zbl 0892.46075
Carl, Bernd; Defant, Andreas
6
1997
Best constants and asymptotics of Marcinkiewicz-Zygmund inequalities. Zbl 0916.47018
Defant, Andreas; Junge, Marius
4
1997
On some matrix inequalities in Banach spaces. Zbl 0884.47010
Defant, Andreas; Junge, Marius
1
1996
Property (BB) and holomorphic functions on Fréchet-Montel spaces. Zbl 0847.46021
Defant, Andreas; Maestre, Manuel
8
1994
Coincidence of topologies on tensor products of Köthe echelon spaces. Zbl 0805.46007
Bonet, J.; Defant, A.; Peris, A.; Ramanujan, M. S.
1
1994
Tensor norms and operator ideals. Zbl 0774.46018
Defant, Andreas; Floret, Klaus
406
1993
Best constants for the norm of the complexification of operators between \(L_ p\)-spaces. Zbl 0793.47035
Defant, Andreas
1
1993
Tensor products and Grothendieck type inequalities of operators in \(L_ p\)-spaces. Zbl 0785.47021
Carl, Bernd; Defant, Andreas
7
1992
Tensor products of Fréchet or (DF)-spaces with a Banach space. Zbl 0776.46029
Bonet, José; Defant, Andreas; Galbis, Antonio
6
1992
Continuity of tensor product operators between spaces of Bochner integrable functions. Zbl 0783.47041
Defant, Andreas; Floret, Klaus
1
1992
On the injective tensorproduct of (DF)-spaces. Zbl 0786.46058
Defant, Andreas; Floret, Klaus; Taskinen, Jari
3
1991
On unconditional bases in spaces of holomorphic functions in infinite dimensions. Zbl 0706.46028
Defant, Andreas; Morales, Luiza A.
1
1991
Surjective \({\mathbf A}\)-compactness and generalized Kolmogorov numbers. Zbl 0803.47024
Defant, A.; Ramanujan, M. S.
1
1991
Limit orders of \(\epsilon\) \(\pi\)-continuous operators. Zbl 0726.47011
Defant, Andreas; Mascioni, Vania
1
1990
Tensornorm techniques for the (DF)-space problem. Zbl 0786.46057
Defant, A.; Floret, K.
1
1990
On tensor stable operator ideals. Zbl 0669.47025
Carl, B.; Defant, A.; Ramanujan, M. S.
7
1989
Topological tensor products and the approximation property of locally convex spaces. Zbl 0677.46057
Defant, Andreas; Floret, Klaus
5
1989
Aspects of the metric theory of tensor products and operator ideals. Zbl 0714.46052
Defant, Andreas; Floret, Klaus
2
1988
Tensor products and spaces of vector-valued continuous functions. Zbl 0601.46064
Defant, Andreas; Govaerts, Willy
14
1986
Projective tensor products of distinguished Fréchet spaces. Zbl 0575.46055
Bonet, José; Defant, Andreas
3
1986
A duality theorem for locally convex tensor products. Zbl 0551.46050
Defant, Andreas
5
1985
...and 5 more Documents
all top 5

Cited by 534 Authors

59 Defant, Andreas
48 Sánchez-Pérez, Enrique Alfonso
46 Pellegrino, Daniel Marinho
38 Popa, Dumitru
33 Botelho, Geraldo
25 Rueda, Pilar
25 Sevilla-Peris, Pablo
24 Carando, Daniel G.
23 Maestre, Manuel
20 Mastyło, Mieczysław
20 Seoane-Sepúlveda, Juan Benigno
15 García, Domingo
15 Palazuelos, Carlos
13 Dimant, Verónica
12 Achour, Dahmane
12 Cilia, Raffaella
12 Gutiérrez, Joaquín M.
12 Muñoz-Fernández, Gustavo Adolfo
12 Pérez-García, David
12 Villanueva, Ignacio
11 Araújo, Gustavo da Silva
11 Bayart, Frédéric
11 Calabuig, José Manuel
11 Kim, Ju Myung
10 Galicer, Daniel
10 Junge, Marius
9 Lassalle, Silvia
9 Ponnusamy, Saminathan
8 Blasco, Oscar
8 Bonet Solves, José
8 Dineen, Seán
8 Oja, Eve
7 Albuquerque, Nacib Gurgel
7 Bu, Qingying
7 Das, Nilanjan
7 Fernández-Unzueta, Maite
7 Labuschagne, Coenraad C. A.
7 Núñez-Alarcón, Daniel
7 Santos, Joedson
7 Schoolmann, Ingo
7 Turco, Pablo
6 Ali, Rosihan Mohamed
6 Bhowmik, Bappaditya
6 Delgado, Julio
6 Galego, Elói Medina
6 Piñeiro, Cándido
6 Prochno, Joscha
6 Serrano-Rodríguez, Diana Marcela
5 Boyd, Christopher
5 Chávez-Domínguez, Javier Alejandro
5 Choi, Yun Sung
5 Dahia, Elhadj
5 Díaz, Juan Carlos
5 Domański, Paweł
5 Fernández Carrión, Antonio
5 Galdames Bravo, Orlando
5 García, Ricardo
5 Grecu, Bogdan C.
5 Hinrichs, Aicke
5 Ji, Donghai
5 Jiménez-Rodríguez, Pablo
5 Lopez Molina, Juan Antonio
5 Martín Suarez, Miguel
5 Michels, Carsten
5 Mirotin, Adol’f Rubimovich
5 Muro, Santiago
5 Rivera, Maria José
5 Seip, Kristian
5 Sukochev, Fedor Anatol’evich
4 Acosta Vigil, María Dolores
4 Aron, Richard Martin
4 Badea, Gabriela
4 Becerra Guerrero, Julio
4 Brevig, Ole Fredrik
4 Campos, Jamilson Ramos
4 Castillo, Jesús M. F.
4 Cavalcante, Wasthenny Vasconcelos
4 Cullender, Stuart F.
4 Delgado, Olvido
4 Erdoğan, Ezgi
4 Floret, Klaus
4 Frerick, Leonhard
4 Hong, Guixiang
4 Jung, Mingu
4 Marceca, Felipe
4 Mayoral, Fernando
4 Moshtaghioun, Seyed Mohammad
4 Muñoz, Fernando
4 Naranjo, Francisco
4 Nogueira, Tony
4 Oikhberg, Timur
4 Pinasco, Damián
4 Queffélec, Hervé
4 Ruzhansky, Michael V.
4 Ryan, Raymond A.
4 Torres, Ewerton R.
4 Torres, Leodan A.
4 Tradacete Pérez, Pedro
4 Tulenov, Kanat Serikovich
4 Villafañe, Román
...and 434 more Authors
all top 5

Cited in 151 Serials

93 Journal of Mathematical Analysis and Applications
55 Journal of Functional Analysis
30 Positivity
29 Proceedings of the American Mathematical Society
27 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
15 Linear and Multilinear Algebra
14 Archiv der Mathematik
14 Mathematische Nachrichten
14 Results in Mathematics
13 Israel Journal of Mathematics
13 Mathematische Annalen
13 Mathematische Zeitschrift
12 Transactions of the American Mathematical Society
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Linear Algebra and its Applications
11 Mediterranean Journal of Mathematics
10 Monatshefte für Mathematik
9 Czechoslovak Mathematical Journal
9 Integral Equations and Operator Theory
9 Journal of Approximation Theory
8 Studia Mathematica
8 Functiones et Approximatio. Commentarii Mathematici
7 Communications in Mathematical Physics
7 Advances in Mathematics
7 Banach Journal of Mathematical Analysis
6 Rocky Mountain Journal of Mathematics
6 Collectanea Mathematica
6 Quaestiones Mathematicae
6 The Journal of Geometric Analysis
6 Revista Matemática Complutense
5 Glasgow Mathematical Journal
5 Journal of the Australian Mathematical Society
5 Complex Analysis and Operator Theory
5 Annals of Functional Analysis
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Colloquium Mathematicum
4 Journal für die Reine und Angewandte Mathematik
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
4 Computational Methods and Function Theory
4 Advances in Operator Theory
3 Journal of Mathematical Physics
3 Arkiv för Matematik
3 Michigan Mathematical Journal
3 Journal of Complexity
3 Constructive Approximation
3 Revista Matemática Iberoamericana
3 Filomat
3 Bulletin des Sciences Mathématiques
3 The Journal of Fourier Analysis and Applications
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Bulletin of the Brazilian Mathematical Society. New Series
2 Bulletin of the Australian Mathematical Society
2 Journal d’Analyse Mathématique
2 Manuscripta Mathematica
2 Mathematica Scandinavica
2 Numerical Functional Analysis and Optimization
2 Rendiconti del Seminario Matematico della Università di Padova
2 Zeitschrift für Analysis und ihre Anwendungen
2 Publicacions Matemàtiques
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Russian Mathematics
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Acta Mathematica Sinica. English Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Complex Variables and Elliptic Equations
2 Frontiers of Mathematics in China
2 Analysis and Mathematical Physics
1 Advances in Applied Probability
1 Computer Methods in Applied Mechanics and Engineering
1 Inverse Problems
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Anais da Academia Brasileira de Ciências
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Hiroshima Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Mathematica Slovaca
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 51 more Serials
all top 5

Cited in 45 Fields

542 Functional analysis (46-XX)
353 Operator theory (47-XX)
80 Functions of a complex variable (30-XX)
41 Several complex variables and analytic spaces (32-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
25 Quantum theory (81-XX)
23 Probability theory and stochastic processes (60-XX)
16 Real functions (26-XX)
14 Partial differential equations (35-XX)
14 Abstract harmonic analysis (43-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
11 Numerical analysis (65-XX)
10 Number theory (11-XX)
10 Approximations and expansions (41-XX)
8 Sequences, series, summability (40-XX)
7 Measure and integration (28-XX)
7 Potential theory (31-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Convex and discrete geometry (52-XX)
6 Computer science (68-XX)
6 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
4 Topological groups, Lie groups (22-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Ordinary differential equations (34-XX)
3 General topology (54-XX)
3 Biology and other natural sciences (92-XX)
2 Algebraic geometry (14-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Systems theory; control (93-XX)

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