Algebraic Reflexivity of Non-Canonical Isometries on Lipschitz Spaces

Algebraic Reflexivity of Non-Canonical Isometries on Lipschitz Spaces

Let Lip([0,1]) be the Banach space of all Lipschitz complex-valued functions f on [0,1], equipped with one of the norms: ∥f∥σ=|f(0)|+∥f′∥L∞ or ∥f∥m=max{|f(0)|,∥f′∥L∞}, where ∥⋅∥L∞ denotes the essential supremum norm. It is known that the surjective linear isometries of such spaces are integral opera...

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Bibliographic Details
Main Authors: Jiménez-Vargas, Antonio, Ramírez, María Isabel
Format: info:eu-repo/semantics/article
Language:English
Published: MDPI 2021
Subjects:
algebraic reflexivity
topological reflexivity
isometry group
Lipschitz function
Gleason–Kahane–Zelazko theorem
Online Access:http://hdl.handle.net/10835/11923

Internet

http://hdl.handle.net/10835/11923

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