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 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Abingdon
Taylor & Francis Ltd
03.08.2018
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| Subjects: | |
| ISSN: | 0308-1087, 1563-5139 |
| Online Access: | Get full text |
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| Summary: | 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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0308-1087 1563-5139 |
| DOI: | 10.1080/03081087.2017.1368440 |