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2018 | OriginalPaper | Buchkapitel

1. Preliminaries

verfasst von : Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel

Erschienen in: Unbounded Weighted Composition Operators in L²-Spaces

Verlag: Springer International Publishing

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Abstract

The classical Banach-Stone theorem (see [7, Théorème XI.3] and [146], see also [68, Theorem 2.1.1]) states that if X and Y are compact Hausdorff topological spaces and A: C(X) → C(Y ) is a surjective linear isometry, then there exist a continuous function \(w\colon Y\to \mathbb R\) and a homeomorphism ϕ: Y → X such that |w|≡ 1 and

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Metadaten
Titel
Preliminaries
verfasst von
Piotr Budzyński
Zenon Jabłoński
Il Bong Jung
Jan Stochel
Copyright-Jahr
2018
Buch
Unbounded Weighted Composition Operators in L²-Spaces

Print ISBN: 978-3-319-74038-6

Electronic ISBN: 978-3-319-74039-3

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-74039-3_1