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

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

2012-04-10

arxiv.org/abs/1204.2057v1

Mathematics

Functional Analysis

Scientific paper

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 uniformly convex Banach space such that the group of isometries of E is algebraically reflexive. 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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