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## Popa, Dumitru

Compute Distance To:
 Author ID: popa.dumitru Published as: Popa, Dumitru External Links: ResearchGate · GND
 Documents Indexed: 104 Publications since 1990, including 1 Book Reviewing Activity: 106 Reviews
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#### Co-Authors

 92 single-authored 4 Badea, Gabriela 3 Bănescu, Magdalena 2 Costara, Constantin 1 Defant, Andreas 1 Musial, Kazimierz 1 Schwarting, Ursula 1 Sinnamon, Gord
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#### Serials

 12 Gazeta Matematică. Seria A 11 Journal of Mathematical Analysis and Applications 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Quaestiones Mathematicae 6 Positivity 5 Archiv der Mathematik 5 Le Matematiche 4 Results in Mathematics 3 Linear and Multilinear Algebra 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Studia Mathematica 2 Collectanea Mathematica 2 Colloquium Mathematicum 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Linear Algebra and its Applications 2 Gazeta Matematică. Revistă de Cultură Matematică 2 International Journal of Number Theory 2 Operators and Matrices 1 Rocky Mountain Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Studii şi Cercetări Matematice 1 Constructive Approximation 1 Publicacions Matemàtiques 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Journal of Convex Analysis 1 Analele Universităţii “Ovidius” Constanţa. Seria: Matematică 1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 1 Abstract and Applied Analysis 1 Revista Matemática Complutense 1 Central European Journal of Mathematics 1 Kluwer Texts in the Mathematical Sciences
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#### Fields

 63 Functional analysis (46-XX) 61 Operator theory (47-XX) 12 Real functions (26-XX) 11 Approximations and expansions (41-XX) 10 Measure and integration (28-XX) 8 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Sequences, series, summability (40-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

57 Publications have been cited 248 times in 112 Documents Cited by Year
Coordinatewise multiple summing operators in Banach spaces. Zbl 1205.46026
Defant, Andreas; Popa, Dumitru; Schwarting, Ursula
2010
Reverse inclusions for multiple summing operators. Zbl 1154.47014
Popa, Dumitru
2009
Multilinear variants of Pietsch’s composition theorem. Zbl 1196.47019
Popa, Dumitru
2010
A new distinguishing feature for summing, versus dominated and multiple summing operators. Zbl 1228.46041
Popa, Dumitru
2011
Multilinear variants of Maurey and Pietsch theorems and applications. Zbl 1198.47036
Popa, Dumitru
2010
Blei’s inequality and coordinatewise multiple summing operators. Zbl 1286.26017
Popa, Dumitru; Sinnamon, Gord
2013
Multiple Rademacher means and their applications. Zbl 1233.47016
Popa, Dumitru
2012
Nuclear multilinear operators with respect to a partition. Zbl 1272.47072
Popa, Dumitru
2012
Multiple summing operators on $$l_{p}$$ spaces. Zbl 1320.47060
Popa, Dumitru
2014
Exercises in functional analysis. Zbl 1070.46001
Costara, Constantin; Popa, Dumitru
2003
$$(r,p)$$-absolutely summing operators on the space $$C(T,X)$$ and applications. Zbl 1035.47011
Popa, Dumitru
2001
2-summing multiplication operators. Zbl 1288.47022
Popa, Dumitru
2013
Remarks on multiple summing operators on $$C(\Omega)$$-spaces. Zbl 1315.47053
Popa, Dumitru
2014
Composition results for strongly summing and dominated multilinear operators. Zbl 1308.47063
Popa, Dumitru
2014
Examples of summing, integral and nuclear operators on the space $$C([0,1],X)$$ with values in $$C_{0}$$. Zbl 1116.47019
Popa, Dumitru
2007
Pietsch integral operators defined on injective tensor products of spaces and applications. Zbl 0897.47013
Popa, Dumitru
1997
Almost summing and multiple almost summing multilinear operators on $$l_p$$ spaces. Zbl 1314.46057
Popa, Dumitru
2014
Mixing multilinear operators with or without a linear analogue. Zbl 1278.46045
Popa, Dumitru
2013
Mixing multilinear operators. Zbl 1301.46021
Popa, Dumitru
2012
Measures with bounded variation with respect to a normed ideal of operators and applications. Zbl 1116.46013
Popa, Dumitru
2006
2-absolutely summing operators on the space $$C(T,X)$$. Zbl 0942.47013
Popa, Dumitru
1999
The summing nature of the multiplication operator from $$l_{p}\left( \mathcal {X}\right)$$ into $$c_{0}\left( \mathcal {Y}\right)$$. Zbl 06836243
2018
The splitting property for $$(p,S)$$-summing operators. Zbl 1422.47027
Popa, Dumitru
2017
Multiple summing, dominated and summing operators on a product of $$l_1$$ spaces. Zbl 1321.46048
Popa, Dumitru
2014
New extensions of some classical theorems in number theory. Zbl 1297.11121
Bănescu, Magdalena; Popa, Dumitru
2013
2-summing operators on $$C([0, 1], l_p$$) with values in $$l_{1}$$. Zbl 1181.47018
Popa, Dumitru
2009
Nuclear operators on $${\mathcal C}(T,X)$$. Zbl 0713.47017
Popa, Dumitru
1990
Bernstein type asymptotic evaluations for linear positive operators on $$C\left[ \alpha ,\beta \right]$$. Zbl 1426.41030
Popa, Dumitru
2019
Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals. Zbl 1342.47076
Popa, Dumitru
2016
Swartz type results for nuclear and multiple 1-summing bilinear operators on $$c_0(\mathcal {X})\times c_0(\mathcal {Y})$$. Zbl 1343.47026
2015
2-summing operators on $$l_{2}(\mathcal X)$$. Zbl 1325.47049
Popa, Dumitru
2014
A double Mertens type evaluation. Zbl 1311.11091
Popa, Dumitru
2014
Cohen-Kwapień type theorems for multiple summing operators. Zbl 1274.47010
Popa, Dumitru
2013
Averages and compact, absolutely summing and nuclear operators on $$C(\Omega)$$. Zbl 1214.47023
Popa, Dumitru
2010
Integral and nuclear operators on the space $$C(\Omega,c_0)$$. Zbl 1173.46009
Popa, Dumitru
2008
Examples of operators on $$C[0, 1]$$ distinguishing certain operator ideals. Zbl 1124.47013
Popa, Dumitru
2007
Measures with relatively norm compact range and $$\infty$$-nuclear operators. Zbl 0901.47014
Popa, Dumitru
1995
Operators with the Maurey-Pietsch multiple splitting property. Zbl 07275245
Popa, Dumitru
2020
Asymptotic evaluations for some sequences of positive linear operators. Zbl 1428.41029
Popa, Dumitru
2019
An intermediate Voronovskaja type theorem. Zbl 1426.41021
Popa, Dumitru
2019
Korovkin-type results for multivariate functions which are periodic with respect to one variable. Zbl 1400.41020
Popa, Dumitru
2018
A multivariate convergence theorem for positive sequences of functions. Zbl 1408.41031
Popa, Dumitru
2018
A multiple Abel summation formula and asymptotic evaluations for multiple sums. Zbl 1410.11116
Bănescu, Magdalena; Popa, Dumitru
2018
Summing and dominated operators on a Cartesian product of $$c_{0}(\chi)$$ spaces. Zbl 1375.47010
2017
Dominated $$n$$-linear operators with respect to a system of $$n$$ bounded linear operators. Zbl 1422.47069
Popa, Dumitru
2017
Extensions of Grothendieck and Bennett-Carl theorems. Zbl 1448.47031
Popa, Dumitru
2016
Asymptotic evaluations for some double sums in number theory. Zbl 1391.11138
Bănescu, Magdalena; Popa, Dumitru
2015
A characterization of type 2 spaces. Zbl 1339.46046
Popa, Dumitru
2015
Multiple summability properties for Cohen $$p$$-summing operators. Zbl 1335.47011
Popa, Dumitru
2015
Pólya-Radoux type results for some arithmetical functions. Zbl 1382.11077
Popa, Dumitru
2015
Hilbert-Schmidt and multiple summing operators. Zbl 1266.47085
2012
Khinchin’s inequality, Dunford-Pettis and compact operators on the space $$C([0,1],X)$$. Zbl 1124.47023
Popa, Dumitru
2007
Some examples of weakly compact, compact, absolutely summing and nuclear operators on the space $$C[0,1]$$. Zbl 1052.47013
Popa, Dumitru
2003
Rank $$\alpha$$ operators on the space $$C(T,X)$$. Zbl 1034.47010
Popa, Dumitru
2002
On the vector form of the Lagrange formula, the Darboux property and l’Hôpital’s rule. Zbl 1016.26006
Popa, Dumitru
2000
Sets which are dense in the space of all Pettis integrable functions. Zbl 0974.28008
Popa, Dumitru
2000
On some classical theorems in measure theory. Zbl 0771.28005
Popa, Dumitru
1992
Operators with the Maurey-Pietsch multiple splitting property. Zbl 07275245
Popa, Dumitru
2020
Bernstein type asymptotic evaluations for linear positive operators on $$C\left[ \alpha ,\beta \right]$$. Zbl 1426.41030
Popa, Dumitru
2019
Asymptotic evaluations for some sequences of positive linear operators. Zbl 1428.41029
Popa, Dumitru
2019
An intermediate Voronovskaja type theorem. Zbl 1426.41021
Popa, Dumitru
2019
The summing nature of the multiplication operator from $$l_{p}\left( \mathcal {X}\right)$$ into $$c_{0}\left( \mathcal {Y}\right)$$. Zbl 06836243
2018
Korovkin-type results for multivariate functions which are periodic with respect to one variable. Zbl 1400.41020
Popa, Dumitru
2018
A multivariate convergence theorem for positive sequences of functions. Zbl 1408.41031
Popa, Dumitru
2018
A multiple Abel summation formula and asymptotic evaluations for multiple sums. Zbl 1410.11116
Bănescu, Magdalena; Popa, Dumitru
2018
The splitting property for $$(p,S)$$-summing operators. Zbl 1422.47027
Popa, Dumitru
2017
Summing and dominated operators on a Cartesian product of $$c_{0}(\chi)$$ spaces. Zbl 1375.47010
2017
Dominated $$n$$-linear operators with respect to a system of $$n$$ bounded linear operators. Zbl 1422.47069
Popa, Dumitru
2017
Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals. Zbl 1342.47076
Popa, Dumitru
2016
Extensions of Grothendieck and Bennett-Carl theorems. Zbl 1448.47031
Popa, Dumitru
2016
Swartz type results for nuclear and multiple 1-summing bilinear operators on $$c_0(\mathcal {X})\times c_0(\mathcal {Y})$$. Zbl 1343.47026
2015
Asymptotic evaluations for some double sums in number theory. Zbl 1391.11138
Bănescu, Magdalena; Popa, Dumitru
2015
A characterization of type 2 spaces. Zbl 1339.46046
Popa, Dumitru
2015
Multiple summability properties for Cohen $$p$$-summing operators. Zbl 1335.47011
Popa, Dumitru
2015
Pólya-Radoux type results for some arithmetical functions. Zbl 1382.11077
Popa, Dumitru
2015
Multiple summing operators on $$l_{p}$$ spaces. Zbl 1320.47060
Popa, Dumitru
2014
Remarks on multiple summing operators on $$C(\Omega)$$-spaces. Zbl 1315.47053
Popa, Dumitru
2014
Composition results for strongly summing and dominated multilinear operators. Zbl 1308.47063
Popa, Dumitru
2014
Almost summing and multiple almost summing multilinear operators on $$l_p$$ spaces. Zbl 1314.46057
Popa, Dumitru
2014
Multiple summing, dominated and summing operators on a product of $$l_1$$ spaces. Zbl 1321.46048
Popa, Dumitru
2014
2-summing operators on $$l_{2}(\mathcal X)$$. Zbl 1325.47049
Popa, Dumitru
2014
A double Mertens type evaluation. Zbl 1311.11091
Popa, Dumitru
2014
Blei’s inequality and coordinatewise multiple summing operators. Zbl 1286.26017
Popa, Dumitru; Sinnamon, Gord
2013
2-summing multiplication operators. Zbl 1288.47022
Popa, Dumitru
2013
Mixing multilinear operators with or without a linear analogue. Zbl 1278.46045
Popa, Dumitru
2013
New extensions of some classical theorems in number theory. Zbl 1297.11121
Bănescu, Magdalena; Popa, Dumitru
2013
Cohen-Kwapień type theorems for multiple summing operators. Zbl 1274.47010
Popa, Dumitru
2013
Multiple Rademacher means and their applications. Zbl 1233.47016
Popa, Dumitru
2012
Nuclear multilinear operators with respect to a partition. Zbl 1272.47072
Popa, Dumitru
2012
Mixing multilinear operators. Zbl 1301.46021
Popa, Dumitru
2012
Hilbert-Schmidt and multiple summing operators. Zbl 1266.47085
2012
A new distinguishing feature for summing, versus dominated and multiple summing operators. Zbl 1228.46041
Popa, Dumitru
2011
Coordinatewise multiple summing operators in Banach spaces. Zbl 1205.46026
Defant, Andreas; Popa, Dumitru; Schwarting, Ursula
2010
Multilinear variants of Pietsch’s composition theorem. Zbl 1196.47019
Popa, Dumitru
2010
Multilinear variants of Maurey and Pietsch theorems and applications. Zbl 1198.47036
Popa, Dumitru
2010
Averages and compact, absolutely summing and nuclear operators on $$C(\Omega)$$. Zbl 1214.47023
Popa, Dumitru
2010
Reverse inclusions for multiple summing operators. Zbl 1154.47014
Popa, Dumitru
2009
2-summing operators on $$C([0, 1], l_p$$) with values in $$l_{1}$$. Zbl 1181.47018
Popa, Dumitru
2009
Integral and nuclear operators on the space $$C(\Omega,c_0)$$. Zbl 1173.46009
Popa, Dumitru
2008
Examples of summing, integral and nuclear operators on the space $$C([0,1],X)$$ with values in $$C_{0}$$. Zbl 1116.47019
Popa, Dumitru
2007
Examples of operators on $$C[0, 1]$$ distinguishing certain operator ideals. Zbl 1124.47013
Popa, Dumitru
2007
Khinchin’s inequality, Dunford-Pettis and compact operators on the space $$C([0,1],X)$$. Zbl 1124.47023
Popa, Dumitru
2007
Measures with bounded variation with respect to a normed ideal of operators and applications. Zbl 1116.46013
Popa, Dumitru
2006
Exercises in functional analysis. Zbl 1070.46001
Costara, Constantin; Popa, Dumitru
2003
Some examples of weakly compact, compact, absolutely summing and nuclear operators on the space $$C[0,1]$$. Zbl 1052.47013
Popa, Dumitru
2003
Rank $$\alpha$$ operators on the space $$C(T,X)$$. Zbl 1034.47010
Popa, Dumitru
2002
$$(r,p)$$-absolutely summing operators on the space $$C(T,X)$$ and applications. Zbl 1035.47011
Popa, Dumitru
2001
On the vector form of the Lagrange formula, the Darboux property and l’Hôpital’s rule. Zbl 1016.26006
Popa, Dumitru
2000
Sets which are dense in the space of all Pettis integrable functions. Zbl 0974.28008
Popa, Dumitru
2000
2-absolutely summing operators on the space $$C(T,X)$$. Zbl 0942.47013
Popa, Dumitru
1999
Pietsch integral operators defined on injective tensor products of spaces and applications. Zbl 0897.47013
Popa, Dumitru
1997
Measures with relatively norm compact range and $$\infty$$-nuclear operators. Zbl 0901.47014
Popa, Dumitru
1995
On some classical theorems in measure theory. Zbl 0771.28005
Popa, Dumitru
1992
Nuclear operators on $${\mathcal C}(T,X)$$. Zbl 0713.47017
Popa, Dumitru
1990
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#### Cited by 78 Authors

 44 Popa, Dumitru 24 Pellegrino, Daniel Marinho 10 Botelho, Geraldo 7 Seoane-Sepúlveda, Juan Benigno 6 Araújo, Gustavo da Silva 6 Defant, Andreas 6 Núñez-Alarcón, Daniel 6 Rueda, Pilar 5 Santos, Joedson 4 Albuquerque, Nacib Gurgel 4 Badea, Gabriela 4 Bayart, Frédéric 4 Serrano-Rodríguez, Diana Marcela 3 Achour, Dahmane 3 Muñoz-Fernández, Gustavo A. 3 Ribeiro, Joilson O. 3 Schwarting, Ursula 3 Sevilla-Peris, Pablo 3 Torres, Ewerton R. 2 Balcerzak, Marek 2 Bănescu, Magdalena 2 Bernardino, A. Thiago 2 Blasco, Oscar 2 Bu, Qingying 2 Diniz Pereira da Silva e Silva, Diogo 2 Grey, Wayne 2 Maestre, Manuel 2 Muñoz, Fernando 2 Nockowska-Rosiak, Magdalena 2 Oja, Eve 2 Piñeiro, Cándido 2 Sinnamon, Gord 2 Strobin, Filip 1 Aron, Richard M. 1 Boccuto, Antonio 1 Bongiorno, Benedetto 1 Campos, Jamilson Ramos 1 Carando, Daniel G. 1 Cavalcante, Wasthenny Vasconcelos 1 Costea, Nicuşor 1 Csirik, Mihály 1 Dahia, Elhadj 1 Darji, Udayan B. 1 Di Piazza, Luisa 1 Dimant, Verónica 1 Dimitriou, Xenofon 1 Fernández-Unzueta, Maite 1 Freitas, Davidson 1 García-Hernández, Samuel 1 García, Domingo 1 Hachuła, Piotr 1 Ji, Donghai 1 Labuschagne, Coenraad C. A. 1 Lawlor, Gary R. 1 Lee, Byunghoon 1 Maia, Mariana 1 Majchrzycki, Adam 1 Michels, Carsten 1 Montanaro, Ashley 1 Mujica, Ximena 1 Muro, Santiago 1 Nogueira, Tony 1 Nowak, Marian 1 Nunes, Antonio Gomes 1 Ostrovskii, Mikhail Iosifovich 1 Papanastassiou, Nikolaos 1 Pinasco, Damián 1 Randrianantoanina, Beata 1 Sánchez-Pérez, Enrique Alfonso 1 Santos, Djair 1 Santos, Fabrício 1 Santos, Joâo Miguel 1 Schmeidel, Ewa L. 1 Schoolmann, Ingo 1 Souza, Marcela L. V. 1 Stochmal, Juliusz 1 Varga, Csaba György 1 Velanga, Thiago
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#### Cited in 40 Serials

 14 Journal of Mathematical Analysis and Applications 9 Linear and Multilinear Algebra 8 Linear Algebra and its Applications 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Positivity 4 Archiv der Mathematik 4 Collectanea Mathematica 4 Journal of Functional Analysis 4 Monatshefte für Mathematik 4 Quaestiones Mathematicae 4 Results in Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Advances in Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Integral Equations and Operator Theory 2 Proceedings of the American Mathematical Society 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Revista Matemática Complutense 2 Mediterranean Journal of Mathematics 2 International Journal of Number Theory 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Illinois Journal of Mathematics 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Publicacions Matemàtiques 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Central European Journal of Mathematics 1 Set-Valued and Variational Analysis 1 Annals of Functional Analysis
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#### Cited in 19 Fields

 81 Functional analysis (46-XX) 74 Operator theory (47-XX) 9 Real functions (26-XX) 6 Number theory (11-XX) 5 Approximations and expansions (41-XX) 4 Functions of a complex variable (30-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)