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

2018/03/28 by Shinnosuke Izumi, Hiroyuki Takagi, Izumi, Shinnosuke +1
Mathematics · #47B07 #47B48 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1803.10456

openalex publication_date 2018/03/28 · openalex created_date 2018/04/06 · openalex updated_date 2026/07/28

Abstract

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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