Multilinear isometries on function algebras
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Multilinear isometries on function algebrasDate
2015Publisher
Taylor & FrancisISSN
0308-1087; 1563-5139Bibliographic citation
HOSSEINI, Maliheh; FONT, Juan J.; SANCHIS, Manuel. Multilinear isometries on function algebras. Linear and Multilinear Algebra, 2015, vol. 63, no 7, p. 1448-1457.Type
info:eu-repo/semantics/articlePublisher version
http://www.tandfonline.com/doi/full/10.1080/03081087.2014.945446Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
Let be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces , respectively, and let Z be a locally compact Hausdorff space. A -linear map is ... [+]
Let be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces , respectively, and let Z be a locally compact Hausdorff space. A -linear map is called a multilinear (or k-linear) isometry if (Formula presented.)
Based on a new version of the additive Bishop’s Lemma, we provide a weighted composition characterization of such maps. These results generalize the well-known Holsztyński’s theorem and the bilinear version of this theorem provided in Moreno and Rodríguez [Studia Math. 2005;166:83–91] by a different approach. [-]
Is part of
Linear and Multilinear Algebra, 2015, vol. 63, no 7Rights
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