Compact homomorphisms between algebras of \(C(K)\)-valued Lipschitz functions

Compact homomorphisms between algebras of \(C(K)\)-valued Lipschitz functions

We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of those homomorphisms.

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Veröffentlicht in:arXiv.org 2018-03
Hauptverfasser: Izumi, Shinnosuke, Takagi, Hiroyuki
Format: Artikel
Sprache:eng
Schlagworte:
Continuity (mathematics)
Homomorphisms
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Zusammenfassung:We give a complete description of homomorphisms between two Banach algebras of Lipschitz functions with values in continuous functions. We also characterize the compactness of those homomorphisms.
ISSN:2331-8422