Representation of generalized bi-circular projections on Banach spaces

Abstract

We prove several results concerning the representation of projections on arbitrary Banach spaces. We also give illustrative examples including an example of a generalized bi-circular projection which can not be written as the average of the identity with an isometric reflection. We also characterize generalized bi-circular projections on C0(Ω, X), with Ω a locally compact Hausdorff space (not necessarily connected) and X a Banach space with trivial centralizer.

Publication Title

Acta Scientiarum Mathematicarum

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