Locally convex spaces with the strong Gelfand-Phillips property
type: Item
instance of: scholarly article
title: Locally convex spaces with the strong Gelfand-Phillips property
author: Taras Banakh
author: Saak S. Gabriyelyan
published in: Annals of Functional Analysis
publication date: 2023-01-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/2111.05635
review text: This article introduces and studies the strong Gelfand-Phillips property for locally convex spaces. The Gelfand-Phillips property was investigated for Banach spaces in the 1980's by Drewnowski and Schlumprecht among others. The authors present several characterizations, in particular for locally convex spaces which admit a stronger Banach space topology. They investigate hereditary properties and they study this property in the context of spaces of continuous and bounded continuous functions endowed with different locally convex topologies. Examples are given in the final section.
reviewed by: José Bonet
Mathematics Subject Classification ID: 46A03
Mathematics Subject Classification ID: 46E10
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 54C35
zbMATH DE Number: 7644508
zbMATH Keywords: strong Gelfand-Phillips property
zbMATH Keywords: locally convex space
zbMATH Keywords: Banach space
zbMATH Keywords: function space
MaRDI profile type: Publication
OpenAlex ID: W3211409321
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DOI: 10.1007/S43034-023-00255-3
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description: scientific article; zbMATH DE number 7644508