Algebraic Reflexivity of the set of n-Isometries on C(X,E)
Functional Analysis
2012-05-28 v2
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).
Keywords
Cite
@article{arxiv.1204.2057,
title = {Algebraic Reflexivity of the set of n-Isometries on C(X,E)},
author = {A. B. Abubaker},
journal= {arXiv preprint arXiv:1204.2057},
year = {2012}
}