Banach February 2004

banach@mathdept.okstate.edu

2 participants
12 discussions

Abstract of a paper by S. A. Argyros, J. Lopez-Abad, and S. Todorcevic
by Dale Alspach 10 Feb '04

10 Feb '04

This is an announcement for the paper "A class of Banach spaces with few non strictly singular operators" by S. A. Argyros, J. Lopez-Abad, and S. Todorcevic. Abstract: We construct a family $(\mathcal{X}_\al)_{\al\le \omega_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_\al$ every bounded operator $T$ is split into its diagonal part $D_T$ and its strictly singular part $S_T$. Archive classification: Functional Analysis; Logic Mathematics Subject Classification: 46B20; 03E05 Remarks: 52 pages, 1 figure The source file(s), om1hi.tex: 252736 bytes, om1hi1.eps: 181035 bytes, is(are) stored in gzipped form as 0312522.tar.gz with size 117kb. The corresponding postcript file has gzipped size 325kb. Submitted from: jlopez(a)crm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0312522 or http://arXiv.org/abs/math.FA/0312522 or by email in unzipped form by transmitting an empty message with subject line uget 0312522 or in gzipped form by using subject line get 0312522 to: math(a)arXiv.org.

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Test message
by Dale Alspach 06 Feb '04

06 Feb '04

This is a test.

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Banach February 2004