Local symmetry and smoothness in the space of vector-valued continuous functions

2025/04/04 by Mohit, Jain, Ranjana
#46E15 #46E40 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2504.03371

Abstract

In this article, we characterize the left symmetric points in C(K,X), where K is a compact Hausdorff space and X is a Banach space. We also provide necessary and sufficient conditions for the right symmetric points in C(K,X). Further, we identify the smooth points in the space C₀(K,X), K being locally compact Hausdorff space and X being a Banach space.

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