Abstract of a paper by Spiros A. Argyros, Kevin Beanland, and Theocharis Raikoftsalis
This is an announcement for the paper "A weak Hilbert space with few symmetries" by Spiros A. Argyros, Kevin Beanland, and Theocharis Raikoftsalis. Abstract: We construct a weak Hilbert Banach space such that for every block subspace $Y$ every bounded linear operator on Y is of the form D+S where S is a strictly singular operator and D is a diagonal operator. We show that this yields a weak Hilbert space whose block subspaces are not isomorphic to any of their proper subspaces. Archive classification: math.FA Remarks: 32 pages The source file(s), WeakHilbert.tex: 88673 bytes, is(are) stored in gzipped form as 0910.4401.gz with size 26kb. The corresponding postcript file has gzipped size 157kb. Submitted from: kbeanland@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0910.4401 or http://arXiv.org/abs/0910.4401 or by email in unzipped form by transmitting an empty message with subject line uget 0910.4401 or in gzipped form by using subject line get 0910.4401 to: math@arXiv.org.
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