Notion of indiscernibleness and on the p-Mazur property in Banach spaces
type: Item
instance of: scholarly article
title: Notion of indiscernibleness and on the p-Mazur property in Banach spaces
zbMATH Open document ID: 0576.46011
DOI: 10.1007/BF01059715
author: E. V. Tokarev
published in: Ukrainian Mathematical Journal
publication date: 1985-01-01T00:00:00Z
review text: Using model theory and ultrapowers techniques [see e.g. \textit{J. Barwise} (ed.), Handbook of mathematical logic (1978; Zbl 0443.03001)], the author proves several results in Banach space theory. Let us give a sample: Every Banach space of cardinality \(\geq \aleph (\alpha)\) contains a subspace with an unconditional basis of cardinality \(\alpha\) (Theorem 1).
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B15
Mathematics Subject Classification ID: 46S20
Mathematics Subject Classification ID: 03C20
zbMATH DE Number: 3921251
zbMATH Keywords: p-Mazur property
zbMATH Keywords: ultrapowers
zbMATH Keywords: unconditional basis
reviewed by: Stefan Cobzaş
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3921251