Subseries convergence in abstract duality pairs

DOI10.4067/S0716-09172014000400007zbMath1335.46001OpenAlexW2094537307MaRDI QIDQ3450649

Li Ronglu, Min-Hyung Cho, Charles W. Swartz

Publication date: 6 November 2015

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172014000400007

zbMATH Keywords

Orlicz-Pettis theoremconvergence of series

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20)

Related Items

Gliding Hump Properties in Abstract Duality Pairs with Projections ⋮ The Banach-Steinhaus Theorem in Abstract Duality Pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Schur and Phillips lemmas for topological groups
• A version of Orlicz-Pettis theorem for quasi-homogeneous operator space
• A bilinear Orlicz-Pettis theorem
• A bilinear version of Orlicz-Pettis theorem
• Matrix methods in analysis
• Weak compactness and uniform convergence of operators in spaces of Bochner integrable functions
• Compactness in spaces of group-valued contents, the Vitali-Hahn-Saks theorem and Nikodým's boundedness theorem
• Counterexamples in topological vector spaces
• Essays on the Orlicz-Pettis theorem. I: The two theorems
• Theorems of the Orlicz-Pettis-type for locally convex spaces
• A generalized Orlicz-Pettis theorem and applications
• On subseries convergence in F-spaces
• L'intégration par rapport à une mesure de Radon vectorielle
• Subseries convergence in topological groups and vector spaces
• FK-spaces containing \(c_0\)
• Spaces of compact operators
• On Vector Measures
• Invariants in abstract mapping pairs
• Unconditional Convergence and Vector-Valued Measures
• On Integration in Vector Spaces
• O R-CONVERGENCE AND WEAK O R-CONVERGENCE OF NETS AND THEIR APPLICATIONS