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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Vydáno v:Linear & multilinear algebra Ročník 66; číslo 8; s. 1681 - 1690
Hlavní autoři: Hosseini, Maliheh, Font, Juan J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis Ltd 03.08.2018
Témata:
Continuity (mathematics)
Subspaces
Tornadoes
ISSN:0308-1087, 1563-5139
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2017.1368440