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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:467

Article

Izumi, Shinnosuke¹  Takagi, Hiroyuki² 

[1] Shinshu Univ, Interdisciplinary Grad Sch Sci & Technol, Dept Math & Syst Dev, Matsumoto, Nagano 3908621, Japan

[2] Shinshu Univ, Dept Math, Fac Sci, Matsumoto, Nagano 3908621, Japan

关键词: Homomorphism;    Lipschitz function;    Compact operator;   

DOI  :  10.1016/j.jmaa.2018.07.010

来源: Elsevier

【 摘 要 】

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. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free