Linear and Multilinear Isometries in a Noncompact Framework
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Títol
Linear and Multilinear Isometries in a Noncompact FrameworkData de publicació
2021-03-19Editor
SpringerISSN
1660-5446; 1660-5454Cita bibliogràfica
HOSSEINI, Maliheh; FONT, Juan J. Linear and Multilinear Isometries in a Noncompact Framework. Mediterranean Journal of Mathematics, 2021, vol. 18, núm. 3, p. 1-12Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007/s00009-021-01737-1Versió
info:eu-repo/semantics/acceptedVersionResum
Both classical linear and multilinear isometries defined between subalgebras of bounded
continuous functions on (complete) metric spaces are studied. Particularly, we prove that certain
such subalgebras, including ... [+]
Both classical linear and multilinear isometries defined between subalgebras of bounded
continuous functions on (complete) metric spaces are studied. Particularly, we prove that certain
such subalgebras, including the subalgebras of uniformly continuous, Lipschitz or locally Lipschitz
functions, determine the topology of (complete) metric spaces. As consequence, it is proved that
the subalgebra of Lipschitz functions determines the Lipschitz in the small structure of a complete
metric space.
Furthermore, we provide a weighted composition representation for multilinear isometries from
similar subalgebras on (not necessarily complete) metric spaces. We apply this general representa-
tion to obtain more specific ones for subalgebras of uniformly continuous and Lipschitz functions. [-]
Publicat a
Mediterranean Journal of Mathematics, 2021, vol. 18, núm. 3, p. 1-12Entitat finançadora
Gobierno de España | Universitat Jaume I | IMU-CDC
Codi del projecte o subvenció
PID2019-106529GB-I00 | UJI-B2019-08
Drets d'accés
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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