Multi-linear isometries on spaces of vector-valued continuous functions
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadata
Title
Multi-linear isometries on spaces of vector-valued continuous functionsDate
2017Publisher
Taylor & FrancisISSN
0308-1087; 1563-5139Type
info:eu-repo/semantics/articlePublisher version
http://www.tandfonline.com/doi/full/10.1080/03081087.2017.1368440?scroll=top&nee ...Version
info:eu-repo/semantics/submittedVersionSubject
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 ... [+]
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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Linear and Multilinear Algebra. Published online: 01 Sep 2017Investigation project
P11B2014-35 ; Projecte AICO/2016/030 ; MTM2016-77143-PRights
“This is an Original Manuscript of an article published by Taylor & Francis in LINEAR & MULTILINEAR ALGEBRA on 2017, available online: http://www.tandfonline.com/10.1080/03081087.2017.1368440.”
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
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- MAT_Articles [749]