On a variant of Tingley's problem for some function spaces

نویسندگان

چکیده

Let ( Ω , A μ ) and Γ B ν be two arbitrary measure spaces, p ∈ [ 1 ∞ ] . Set S L + : = { f ‖ ; ≥ 0 -a.e. } that is, the positive part of unit sphere We show every surjective isometry Φ → can extended (necessarily uniquely) to an isometric order isomorphism from onto Lamperti form, i.e., a weighted composition like is provided, when localizable (in particular, it σ -finite). On other hand, we for compact Hausdorff spaces X Y if C then there homeomorphism τ satisfying y

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2021

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2020.124800