Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces
type: Item
instance of: scholarly article
title: Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces
zbMATH Open document ID: 0868.46017
DOI: 10.1007/BF02113920
published in: Siberian Mathematical Journal
publication date: 1997-08-18T00:00:00Z
review text: The author suggests the notion of some nonstandard hull for a lattice-normed vector space which is a good replacement for the conventional nonstandard hull of a Banach space. His idea is to consider not only the factor space of finite-norm elements over infinitesimals but also the factor space by infinitesimals of some natural subspace of the divident. The clearest results pertain to spaces with decomposable norm when everything mimics the scalar case modulo obvious specification.
Mathematics Subject Classification ID: 46B40
Mathematics Subject Classification ID: 46S20
zbMATH DE Number: 923479
zbMATH Keywords: Banach-Kantorovich spaces
zbMATH Keywords: nonstandard hull
zbMATH Keywords: lattice-normed vector space
zbMATH Keywords: spaces with decomposable norm
author: Eduard Yu. Emel'yanov
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
cites work: Q4725223
cites work: Q4000054
cites work: Q4301378
cites work: Q4002721
cites work: Q4748648
cites work: Q5638775
full work available at URL: https://doi.org/10.1007/bf02113920
OpenAlex ID: W2321850871
description: scientific article; zbMATH DE number 923479