Normed spaces which are not mackey groups

Saak Gabriyelyan

doi:https://doi.org/10.3390/axioms10030217

Normed spaces which are not mackey groups

Saak Gabriyelyan

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

It is well known that every normed (even quasibarrelled) space is a Mackey space. However, in the more general realm of locally quasi-convex abelian groups an analogous result does not hold. We give the first examples of normed spaces which are not Mackey groups.

Original language	American English
Article number	217
Journal	Axioms
Volume	10
Issue number	3
DOIs	https://doi.org/10.3390/axioms10030217
State	Published - 1 Sep 2021

Keywords

Compatible group topology
Locally quasi-convex
Mackey group
Normed space

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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https://doi.org/10.3390/axioms10030217

Cite this

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title = "Normed spaces which are not mackey groups",

abstract = "It is well known that every normed (even quasibarrelled) space is a Mackey space. However, in the more general realm of locally quasi-convex abelian groups an analogous result does not hold. We give the first examples of normed spaces which are not Mackey groups.",

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KW - Locally quasi-convex

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KW - Normed space

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Normed spaces which are not mackey groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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