Into isometries of C₀(X,E)'s

1996/07/30 by Jyh-Shyang Jeang, Jeang, Jyh-Shyang, Ngai‐Ching Wong +1
Mathematics · #46E15 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9607211

openalex publication_date 1996/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose X and Y are locally compact Hausdorff spaces, E and F are Banach spaces and F is strictly convex. We show that every linear isometry T from C₀(X,E) \em into C₀(Y,F) is essentially a weighted composition operator Tf(y) = h(y) (f(φ(y))). This supplements results of Jerison (when T is onto) and Cambern (when X,Y are compact).

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