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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Veröffentlicht in:Linear & multilinear algebra Jg. 66; H. 8; S. 1681 - 1690
Hauptverfasser: Hosseini, Maliheh, Font, Juan J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis Ltd 03.08.2018
Schlagworte:
Continuity (mathematics)
Subspaces
Tornadoes
ISSN:0308-1087, 1563-5139
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2017.1368440