This is an announcement for the paper "Representation of generalized bi-circular projections on Banach spaces" by A. B. Abubaker, Fernanda Botelho and James Jamison.
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 $C_0(\Om,X)$, with $\Om$ a locally compact Hausdorff space (not necessarily connected) and $X$ a Banach space with trivial centralizer.
Archive classification: math.FA
Mathematics Subject Classification: 47B38, 47B15, 46B99, 47A65
Submitted from: abdullah@iitk.ac.in
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1208.2012
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