Algebraic Reflexivity of the set of n-Isometries on C(X,E)

2012/04/10 by A. B. Abubaker, Abubaker, A. B.
Mathematics · #47L05 (Primary) 46B20 (Secondary) #Advanced Banach Space Theory #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B20 #msc:47L05

paper · pdf · doi:10.48550/arxiv.1204.2057

openalex publication_date 2012/04/10 · arxiv created 2012/05/25 · arxiv updated 2012/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that if the group of isometries of C(X,E) is algebraically reflexive, then the group of n-isometries is also algebraically reflexive. Here, X is a compact Hausdorff space and E is a Banach space. As a corollary to this, we establish the algebraic reflexivity of the set of generalized bi-circular projections on C(X,E).

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