Multilinear isometries on spaces of vector-valued continuous functions

In this paper we study multilinear isometries defined on certain subspaces of vector-valued continuous functions. We provide conditions under which such maps can be properly represented. Our results contain all known results concerning linear and bilinear isometries defined between spaces of continu...

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Published in:Linear & multilinear algebra Vol. 66; no. 8; pp. 1681 - 1690
Main Authors: Hosseini, Maliheh, Font, Juan J.
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis Ltd 03.08.2018
Subjects:
Continuity (mathematics)
Subspaces
Tornadoes
ISSN:0308-1087, 1563-5139
Online Access:Get full text
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Abstract In this paper we study multilinear isometries defined on certain subspaces of vector-valued continuous functions. We provide conditions under which such maps can be properly represented. Our results contain all known results concerning linear and bilinear isometries defined between spaces of continuous functions. The key result is a vector-valued version of the additive Bishop's Lemma, which we think has interest in itself.
AbstractList In this paper we study multilinear isometries defined on certain subspaces of vector-valued continuous functions. We provide conditions under which such maps can be properly represented. Our results contain all known results concerning linear and bilinear isometries defined between spaces of continuous functions. The key result is a vector-valued version of the additive Bishop's Lemma, which we think has interest in itself.
Author Hosseini, Maliheh
Font, Juan J.
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Cites_doi 10.1080/03081087.2014.945446
10.1016/j.jmaa.2011.06.054
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SubjectTerms Continuity (mathematics)
Subspaces
Tornadoes
Title Multilinear isometries on spaces of vector-valued continuous functions
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