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Troitsky, Vladimir G.

Author ID: troitsky.vladimir-g Recent zbMATH articles by "Troitsky, Vladimir G."
Published as: Troitsky, Vladimir G.; Troitsky, V. G.; Troitskij, V. G.; Troitskiĭ, V. G.
Homepage: https://www.math.ualberta.ca/~vtroitsky/
External Links: MGP
Documents Indexed: 54 Publications since 1993
Co-Authors: 45 Co-Authors with 40 Joint Publications
828 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 433 times in 267 Documents Cited by Year
Uo-convergence and its applications to Cesàro means in Banach lattices. Zbl 1395.46017
Gao, N.; Troitsky, V. G.; Xanthos, F.
68
2017
Unbounded norm convergence in Banach lattices. Zbl 1407.46016
Deng, Y.; O’Brien, M.; Troitsky, V. G.
33
2017
Unbounded norm topology in Banach lattices. Zbl 1373.46011
Kandić, M.; Marabeh, M. A. A.; Troitsky, V. G.
28
2017
Martingales in Banach lattices. Zbl 1101.60028
Troitsky, Vladimir G.
28
2005
On norm closed ideals in \(L(\ell_p,\ell_q)\). Zbl 1116.47058
Sari, B.; Schlumprecht, Th.; Tomczak-Jaegermann, N.; Troitsky, V. G.
20
2007
Measures of non-compactness of operators on Banach lattices. Zbl 1081.47043
Troitsky, Vladimir G.
20
2004
Classes of strictly singular operators and their products. Zbl 1168.47018
Androulakis, G.; Dodos, P.; Sirotkin, G.; Troitsky, V. G.
17
2009
Disjointly homogeneous Banach lattices: duality and complementation. Zbl 1315.46024
Flores, J.; Hernández, F. L.; Spinu, E.; Tradacete, P.; Troitsky, V. G.
15
2014
Almost invariant half-spaces of operators on Banach spaces. Zbl 1206.47008
Androulakis, George; Popov, Alexey I.; Tcaciuc, Adi; Troitsky, Vladimir G.
15
2009
Disjointly homogeneous Banach lattices and compact products of operators. Zbl 1171.47016
Flores, Julio; Tradacete, Pedro; Troitsky, Vladimir G.
13
2009
Unbounded norm topology beyond normed lattices. Zbl 1410.46011
Kandić, M.; Li, H.; Troitsky, V. G.
12
2018
Multi-norms and Banach lattices. Zbl 1380.46011
Dales, H. G.; Laustsen, N. J.; Oikhberg, T.; Troitsky, V. G.
11
2017
Minimal vectors of positive operators. Zbl 1080.47010
Anisca, Razvan; Troitsky, Vladimir G.
10
2005
The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square. Zbl 1281.46021
Bu, Qingying; Buskes, Gerard; Popov, Alexey I.; Tcaciuc, Adi; Troitsky, Vladimir G.
8
2013
Minimal vectors in arbitrary Banach spaces. Zbl 1060.47011
Troitsky, Vladimir G.
8
2004
Norm closed operator ideals in Lorentz sequence spaces. Zbl 1245.47020
Kamińska, Anna; Popov, Alexey I.; Spinu, Eugeniu; Tcaciuc, Adi; Troitsky, Vladimir G.
7
2012
Sesquitransitive and localizing operator algebras. Zbl 1143.47006
Lomonosov, Victor I.; Radjavi, Heydar; Troitsky, Vladimir G.
7
2008
Spectral radii of bounded operators on topological vector spaces. Zbl 1006.47001
Troitsky, Vladimir G.
7
2001
On semitransitive collections of operators. Zbl 1082.15027
Bernik, J.; Grunenfelder, L.; Mastnak, M.; Radjavi, H.; Troitsky, V. G.
7
2005
Strictly semi-transitive operator algebras. Zbl 1114.47060
Rosenthal, H. P.; Troitsky, V. G.
7
2005
Finitely strictly singular operators between James spaces. Zbl 1156.47027
Chalendar, Isabelle; Fricain, Emmanuel; Popov, Alexey I.; Timotin, Dan; Troitsky, Vladimir G.
7
2009
Some open problems and conjectures associated with the invariant subspace problem. Zbl 1099.47002
Aliprantis, C. D.; Sirotkin, G.; Troitsky, V. G.
6
2005
Semitransitive spaces of operators. Zbl 1156.47057
Radjavi, Heydar; Troitsky, Vladimir G.
6
2009
Martingales in Banach lattices. II. Zbl 1218.60035
Gessesse, Hailegebriel E.; Troitsky, Vladimir G.
6
2011
Bibasic sequences in Banach lattices. Zbl 1445.46020
Taylor, M. A.; Troitsky, V. G.
5
2020
Options and efficiency in spaces of bounded claims. Zbl 1232.91662
Galvani, Valentina; Troitsky, Vladimir G.
5
2010
Spectrum of a weakly hypercyclic operator meets the unit circle. Zbl 1052.47003
Dilworth, S. J.; Troitsky, Vladimir G.
5
2003
Invariant subspaces of positive strictly singular operators on Banach lattices. Zbl 1138.47005
Flores, Julio; Tradacete, Pedro; Troitsky, Vladimir G.
5
2008
Simple constructions of \(\text{FBL}(A)\) and \(\text{FBL}[E]\). Zbl 1435.46015
Troitsky, V. G.
4
2019
Locally piecewise affine functions and their order structure. Zbl 1381.46006
Adeeb, S.; Troitsky, V. G.
4
2017
Bounded indecomposable semigroups of non-negative matrices. Zbl 1204.15041
Gessesse, Hailegebriel; Popov, Alexey I.; Radjavi, Heydar; Spinu, Eugeniu; Tcaciuc, Adi; Troitsky, Vladimir G.
3
2010
Free Banach lattices under convexity conditions. Zbl 1486.46020
Jardón-Sánchez, Héctor; Laustsen, Niels Jakob; Taylor, Mitchell A.; Tradacete, Pedro; Troitsky, Vladimir G.
3
2022
On \(CD_0(K)\)-spaces. Zbl 1096.46507
Troitsky, V. G.
3
2004
Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces. Zbl 1149.47006
Gessesse, Hailegebriel E.; Troitsky, Vladimir G.
3
2008
Lomonosov’s theorem cannot be extended to chains of four operators. Zbl 0940.47004
Troitsky, Vladimir G.
3
2000
Spaces of regular abstract martingales. Zbl 1352.46021
Troitsky, V. G.; Xanthos, F.
3
2016
Irreducible semigroups of positive operators on Banach lattices. Zbl 1292.47027
Gao, Niushan; Troitsky, Vladimir G.
3
2014
Fremlin tensor products of concavifications of Banach lattices. Zbl 1320.46018
Troitsky, Vladimir G.; Zabeti, Omid
3
2014
Invariant sublattices. Zbl 1187.47009
Radjavi, Heydar; Troitsky, Vladimir G.
3
2008
A version of Lomonosov’s theorem for collections of positive operators. Zbl 1168.47031
Popov, Alexey I.; Troitsky, Vladimir G.
2
2009
A remark on invariant subspaces of positive operators. Zbl 1282.47059
Troitsky, Vladimir G.
2
2013
On the modulus of C. J. Read’s operator. Zbl 0996.47010
Troitsky, V. G.
2
1998
A theorem of Krein revisited. Zbl 1086.46017
Oikhberg, Timur; Troitsky, Vladimir G.
2
2005
Vector lattices admitting a positively homogeneous continuous function calculus. Zbl 1460.46004
Laustsen, Niels Jakob; Troitsky, Vladimir G.
1
2020
Net convergence structures with applications to vector lattices. Zbl 1521.54001
O’Brien, M.; Troitsky, V. G.; van der Walt, J. H.
1
2023
On quasi-affine transforms of Read’s operator. Zbl 1060.47010
Schlumprecht, Thomas; Troitsky, Vladimir G.
1
2003
Order and uo-convergence in spaces of continuous functions. Zbl 1492.46016
Bilokopytov, Eugene; Troitsky, Vladimir G.
1
2022
Net convergence structures with applications to vector lattices. Zbl 1521.54001
O’Brien, M.; Troitsky, V. G.; van der Walt, J. H.
1
2023
Free Banach lattices under convexity conditions. Zbl 1486.46020
Jardón-Sánchez, Héctor; Laustsen, Niels Jakob; Taylor, Mitchell A.; Tradacete, Pedro; Troitsky, Vladimir G.
3
2022
Order and uo-convergence in spaces of continuous functions. Zbl 1492.46016
Bilokopytov, Eugene; Troitsky, Vladimir G.
1
2022
Bibasic sequences in Banach lattices. Zbl 1445.46020
Taylor, M. A.; Troitsky, V. G.
5
2020
Vector lattices admitting a positively homogeneous continuous function calculus. Zbl 1460.46004
Laustsen, Niels Jakob; Troitsky, Vladimir G.
1
2020
Simple constructions of \(\text{FBL}(A)\) and \(\text{FBL}[E]\). Zbl 1435.46015
Troitsky, V. G.
4
2019
Unbounded norm topology beyond normed lattices. Zbl 1410.46011
Kandić, M.; Li, H.; Troitsky, V. G.
12
2018
Uo-convergence and its applications to Cesàro means in Banach lattices. Zbl 1395.46017
Gao, N.; Troitsky, V. G.; Xanthos, F.
68
2017
Unbounded norm convergence in Banach lattices. Zbl 1407.46016
Deng, Y.; O’Brien, M.; Troitsky, V. G.
33
2017
Unbounded norm topology in Banach lattices. Zbl 1373.46011
Kandić, M.; Marabeh, M. A. A.; Troitsky, V. G.
28
2017
Multi-norms and Banach lattices. Zbl 1380.46011
Dales, H. G.; Laustsen, N. J.; Oikhberg, T.; Troitsky, V. G.
11
2017
Locally piecewise affine functions and their order structure. Zbl 1381.46006
Adeeb, S.; Troitsky, V. G.
4
2017
Spaces of regular abstract martingales. Zbl 1352.46021
Troitsky, V. G.; Xanthos, F.
3
2016
Disjointly homogeneous Banach lattices: duality and complementation. Zbl 1315.46024
Flores, J.; Hernández, F. L.; Spinu, E.; Tradacete, P.; Troitsky, V. G.
15
2014
Irreducible semigroups of positive operators on Banach lattices. Zbl 1292.47027
Gao, Niushan; Troitsky, Vladimir G.
3
2014
Fremlin tensor products of concavifications of Banach lattices. Zbl 1320.46018
Troitsky, Vladimir G.; Zabeti, Omid
3
2014
The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square. Zbl 1281.46021
Bu, Qingying; Buskes, Gerard; Popov, Alexey I.; Tcaciuc, Adi; Troitsky, Vladimir G.
8
2013
A remark on invariant subspaces of positive operators. Zbl 1282.47059
Troitsky, Vladimir G.
2
2013
Norm closed operator ideals in Lorentz sequence spaces. Zbl 1245.47020
Kamińska, Anna; Popov, Alexey I.; Spinu, Eugeniu; Tcaciuc, Adi; Troitsky, Vladimir G.
7
2012
Martingales in Banach lattices. II. Zbl 1218.60035
Gessesse, Hailegebriel E.; Troitsky, Vladimir G.
6
2011
Options and efficiency in spaces of bounded claims. Zbl 1232.91662
Galvani, Valentina; Troitsky, Vladimir G.
5
2010
Bounded indecomposable semigroups of non-negative matrices. Zbl 1204.15041
Gessesse, Hailegebriel; Popov, Alexey I.; Radjavi, Heydar; Spinu, Eugeniu; Tcaciuc, Adi; Troitsky, Vladimir G.
3
2010
Classes of strictly singular operators and their products. Zbl 1168.47018
Androulakis, G.; Dodos, P.; Sirotkin, G.; Troitsky, V. G.
17
2009
Almost invariant half-spaces of operators on Banach spaces. Zbl 1206.47008
Androulakis, George; Popov, Alexey I.; Tcaciuc, Adi; Troitsky, Vladimir G.
15
2009
Disjointly homogeneous Banach lattices and compact products of operators. Zbl 1171.47016
Flores, Julio; Tradacete, Pedro; Troitsky, Vladimir G.
13
2009
Finitely strictly singular operators between James spaces. Zbl 1156.47027
Chalendar, Isabelle; Fricain, Emmanuel; Popov, Alexey I.; Timotin, Dan; Troitsky, Vladimir G.
7
2009
Semitransitive spaces of operators. Zbl 1156.47057
Radjavi, Heydar; Troitsky, Vladimir G.
6
2009
A version of Lomonosov’s theorem for collections of positive operators. Zbl 1168.47031
Popov, Alexey I.; Troitsky, Vladimir G.
2
2009
Sesquitransitive and localizing operator algebras. Zbl 1143.47006
Lomonosov, Victor I.; Radjavi, Heydar; Troitsky, Vladimir G.
7
2008
Invariant subspaces of positive strictly singular operators on Banach lattices. Zbl 1138.47005
Flores, Julio; Tradacete, Pedro; Troitsky, Vladimir G.
5
2008
Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces. Zbl 1149.47006
Gessesse, Hailegebriel E.; Troitsky, Vladimir G.
3
2008
Invariant sublattices. Zbl 1187.47009
Radjavi, Heydar; Troitsky, Vladimir G.
3
2008
On norm closed ideals in \(L(\ell_p,\ell_q)\). Zbl 1116.47058
Sari, B.; Schlumprecht, Th.; Tomczak-Jaegermann, N.; Troitsky, V. G.
20
2007
Martingales in Banach lattices. Zbl 1101.60028
Troitsky, Vladimir G.
28
2005
Minimal vectors of positive operators. Zbl 1080.47010
Anisca, Razvan; Troitsky, Vladimir G.
10
2005
On semitransitive collections of operators. Zbl 1082.15027
Bernik, J.; Grunenfelder, L.; Mastnak, M.; Radjavi, H.; Troitsky, V. G.
7
2005
Strictly semi-transitive operator algebras. Zbl 1114.47060
Rosenthal, H. P.; Troitsky, V. G.
7
2005
Some open problems and conjectures associated with the invariant subspace problem. Zbl 1099.47002
Aliprantis, C. D.; Sirotkin, G.; Troitsky, V. G.
6
2005
A theorem of Krein revisited. Zbl 1086.46017
Oikhberg, Timur; Troitsky, Vladimir G.
2
2005
Measures of non-compactness of operators on Banach lattices. Zbl 1081.47043
Troitsky, Vladimir G.
20
2004
Minimal vectors in arbitrary Banach spaces. Zbl 1060.47011
Troitsky, Vladimir G.
8
2004
On \(CD_0(K)\)-spaces. Zbl 1096.46507
Troitsky, V. G.
3
2004
Spectrum of a weakly hypercyclic operator meets the unit circle. Zbl 1052.47003
Dilworth, S. J.; Troitsky, Vladimir G.
5
2003
On quasi-affine transforms of Read’s operator. Zbl 1060.47010
Schlumprecht, Thomas; Troitsky, Vladimir G.
1
2003
Spectral radii of bounded operators on topological vector spaces. Zbl 1006.47001
Troitsky, Vladimir G.
7
2001
Lomonosov’s theorem cannot be extended to chains of four operators. Zbl 0940.47004
Troitsky, Vladimir G.
3
2000
On the modulus of C. J. Read’s operator. Zbl 0996.47010
Troitsky, V. G.
2
1998
all top 5

Cited by 264 Authors

19 Troitsky, Vladimir G.
13 Emel’yanov, Èduard Yur’evich
12 Tradacete Pérez, Pedro
10 Gao, Niushan
9 Labuschagne, Coenraad C. A.
9 Watson, Bruce Alastair
9 Zabeti, Omid
8 Erkurşun Özcan, Nazife
8 Grobler, Jacobus J.
8 Kandić, Marko
7 Astashkin, Sergeĭ Vladimir
7 Aydin, Abdullah
7 Gorokhova, Svetlana G.
7 Kuo, Wen-Chi
7 Leung, Denny H.
7 Marabeh, Mohammed A. A.
7 Radjavi, Heydar
7 Wallis, Ben
7 Xanthos, Foivos
6 Bernik, Janez
6 Hernández Rodriguez, Francisco L.
6 Taylor, Mitchell A.
6 Tcaciuc, Adi
5 Azouzi, Youssef
5 Beanland, Kevin
5 Flores, Julio Rolando
5 Gezer, Niyazi Anıl
5 Lacruz, Miguel
5 Popov, Alexey I.
4 Azar, Kazem Haghnejad
4 Chen, Zili
4 Cullender, Stuart F.
4 de Jeu, Marcel
4 Deng, Yang
4 Oikhberg, Timur
4 Semënov, Evgeniĭ Mikhaĭlovich
4 Sirotkin, Gleb G.
4 Spinu, Eugeniu
3 Alpay, Safak
3 Aviles Lopez, Antonio
3 Bilokopytov, Eugene
3 Bu, Qingying
3 Causey, Ryan Michael
3 Chalendar, Isabelle
3 Dabboorasad, Yousef Atef Mohammed
3 Freeman, Daniel H. jun.
3 Gessesse, Hailegebriel E.
3 Helemskii, Alexander Ya.
3 Ji, Donghai
3 Kokol-Bukovšek, Damjana
3 Košir, Tomaž
3 Martínez-Cervantes, Gonzalo
3 Mastnak, Mitja
3 Rodríguez Abellán, José David
3 Tian, Weidong
3 Vardy, Jessica Joy
2 Androulakis, George
2 Argyros, Spiros A.
2 Assadi, Amanollah
2 Ben Amor, Mohamed Amine
2 Bikchentaev, Aĭrat Midkhatovich
2 Blasco, Oscar
2 Cvetko-Vah, Karin
2 Dodos, Pandelis
2 Drnovšek, Roman
2 Ercan, Zafer
2 Farzaneh, Mohamad Ali
2 Gallardo-Gutiérrez, Eva Antonia
2 Homann, Jonathan
2 Kaplin, Michael
2 Koshkin, Sergiy
2 Kudryavtseva, Ganna
2 Kusraeva, Zalina Anatol’evna
2 Laustsen, Niels Jakob
2 Lee, Byunghoon
2 Lefèvre, Pascal
2 Lorist, Emiel
2 Luna-Elizarrarás, María Elena
2 Marraffa, Valeria
2 Moslehian, Mohammad Sal
2 Motakis, Pavlos
2 Navoyan, Khazhak V.
2 Partington, Jonathan R.
2 Raynaud, Yves
2 Rodda, David F.
2 Rodríguez-Piazza, Luis
2 Rogans, Michael J.
2 Rueda Zoca, Abraham
2 Sarı, Bünyamin
2 Schlumprecht, Thomas
2 Semenov, Evgueni M.
2 Tantrawan, Made
2 Wang, Zhangjun
2 Zheng, Bentuo
2 Zsák, András
1 Abedi, Sajjad
1 Abela, Kevin
1 Aboutafail, Otman
1 Alavizadeh, Razi
1 Aliprantis, Charalambos Dionisios
...and 164 more Authors
all top 5

Cited in 90 Serials

47 Journal of Mathematical Analysis and Applications
46 Positivity
18 Proceedings of the American Mathematical Society
13 Journal of Functional Analysis
6 Indagationes Mathematicae. New Series
5 Israel Journal of Mathematics
5 Linear and Multilinear Algebra
5 Integral Equations and Operator Theory
5 Linear Algebra and its Applications
4 Turkish Journal of Mathematics
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Bulletin of the Australian Mathematical Society
3 Results in Mathematics
3 Doklady Mathematics
3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
3 Hacettepe Journal of Mathematics and Statistics
3 Banach Journal of Mathematical Analysis
2 Mathematical Notes
2 Studia Mathematica
2 Advances in Mathematics
2 Archiv der Mathematik
2 Mathematische Annalen
2 Acta Mathematica Hungarica
2 Bulletin of the Iranian Mathematical Society
2 Journal of Mathematical Sciences (New York)
2 Central European Journal of Mathematics
2 Mathematics and Financial Economics
2 Proceedings of the American Mathematical Society. Series B
1 Analysis Mathematica
1 International Journal of Theoretical Physics
1 Russian Mathematical Surveys
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Journal of Approximation Theory
1 Journal of the Korean Mathematical Society
1 Journal of Mathematical Economics
1 Journal für die Reine und Angewandte Mathematik
1 Matematički Vesnik
1 Mathematische Nachrichten
1 Mathematics of Operations Research
1 Mathematica Scandinavica
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Statistics & Probability Letters
1 Order
1 Constructive Approximation
1 Facta Universitatis. Series Mathematics and Informatics
1 Journal of Theoretical Probability
1 Forum Mathematicum
1 Siberian Advances in Mathematics
1 Acta Mathematica Universitatis Comenianae. New Series
1 Expositiones Mathematicae
1 Applied and Computational Harmonic Analysis
1 Computational and Applied Mathematics
1 Georgian Mathematical Journal
1 Advances in Applied Clifford Algebras
1 Izvestiya: Mathematics
1 Mathematical Inequalities & Applications
1 Revista Matemática Complutense
1 Journal of Evolution Equations
1 Journal of Algebra and its Applications
1 Fixed Point Theory and Applications
1 The Australian Journal of Mathematical Analysis and Applications
1 Sarajevo Journal of Mathematics
1 Applications and Applied Mathematics
1 Commentationes Mathematicae
1 Set-Valued and Variational Analysis
1 Annals of Finance
1 Iranian Journal of Mathematical Sciences and Informatics
1 Forum of Mathematics, Sigma
1 Concrete Operators
1 Dependence Modeling
1 Modern Stochastics. Theory and Applications
1 Advances in Operator Theory
1 Annales Fennici Mathematici

Citations by Year