Properties of Banach spaces related to projectivity
type: Item
instance of: scholarly article
title: Properties of Banach spaces related to projectivity
zbMATH Open document ID: 0627.46080
DOI: 10.1007/BF01077321
author: S. V. Kurochkin
publication date: 1986-01-01T00:00:00Z
review text: Let \(Ban_ 1\) denote the category of Banach spaces with morphisms as bounded linear maps of norm \(\leq 1\). The author in this note gives an analogue of the well-known results of Gleason (in the category of compact Hausdorff spaces and continuous maps). He defines the analogues of ``projective objects'' and extremally disconnected spaces in this setting. But in \(Ban_ 1\) ``extremally disconnectedness'' does not appear as the intrinsic characterisation of projective objects.
Mathematics Subject Classification ID: 46M10
Mathematics Subject Classification ID: 54G05
zbMATH DE Number: 4019800
zbMATH Keywords: category of Banach spaces with morphisms as bounded linear maps of norm \(\leq 1\)
zbMATH Keywords: projective objects
zbMATH Keywords: extremally disconnected spaces
reviewed by: T. K. Mukherjee
MaRDI profile type: Publication
cites work: Q5631608
cites work: On injections and surjections of continuous function spaces
full work available at URL: https://doi.org/10.1007/bf01077321
OpenAlex ID: W1964045414
published in: Functional Analysis and Its Applications
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description: scientific article; zbMATH DE number 4019800