Normed and Banach groups

DOI10.1016/j.jpaa.2023.107557OpenAlexW4388441968MaRDI QIDQ6146474

Saak S. Gabriyelyan

Publication date: 5 February 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2023.107557

zbMATH Keywords

locally quasi-convex groupSchwartz groupnormed groupBanach groupalmost Banach groupalmost normed group

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Analysis on general topological groups (22A10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological properties of the group of the null sequences valued in an abelian topological group
• Locally minimal topological groups. II
• Groups of quasi-invariance and the Pontryagin duality
• On T-sequences and characterized subgroups
• Topological groups and related structures
• Additive subgroups of topological vector spaces
• Some properties of locally quasi-convex groups
• Pontryagin duality for metrizable groups
• On reflexivity of the group of the null sequences valued in an abelian topological group
• Topologies on groups determined by sets of convergent sequences
• Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem
• Reflexive group topologies on Abelian groups
• On the Glicksberg theorem for locally quasi-convex Schwartz groups
• On Schwartz groups
• Some remarks on monothetic groups