Representation of Generalized Bi-Circular Projections on Banach Spaces
Functional Analysis
2012-11-02 v2
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 , with a locally compact Hausdorff space (not necessarily connected) and a Banach space with trivial centralizer.
Keywords
Cite
@article{arxiv.1208.2012,
title = {Representation of Generalized Bi-Circular Projections on Banach Spaces},
author = {A. B. Abubaker and Fernanda Botelho and James Jamison},
journal= {arXiv preprint arXiv:1208.2012},
year = {2012}
}