Linear and Multilinear Isometries in a Noncompact Framework
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Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Título
Linear and Multilinear Isometries in a Noncompact FrameworkFecha de publicación
2021-03-19Editor
SpringerISSN
1660-5446; 1660-5454Cita bibliográfica
HOSSEINI, Maliheh; FONT, Juan J. Linear and Multilinear Isometries in a Noncompact Framework. Mediterranean Journal of Mathematics, 2021, vol. 18, núm. 3, p. 1-12Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s00009-021-01737-1Versión
info:eu-repo/semantics/acceptedVersionResumen
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. [-]
Publicado en
Mediterranean Journal of Mathematics, 2021, vol. 18, núm. 3, p. 1-12Entidad financiadora
Gobierno de España | Universitat Jaume I | IMU-CDC
Código del proyecto o subvención
PID2019-106529GB-I00 | UJI-B2019-08
Derechos de acceso
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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