This is an announcement for the paper "The inclusion of the Schur algebra in B(l^2) is not inverse-closed" by Romain Tessera.

Abstract: The Schur algebra is the algebra of operators which are bounded on l^1 and on l^{\infty}. Q. Sun conjectured that the Schur algebra is inverse-closed. In this note, we disprove this conjecture. Precisely, we exhibit an operator in the Schur algebra, invertible in l^2, whose inverse is not bounded on l^1 nor on l^{\infty}.

Archive classification: math.FA math.MG

Mathematics Subject Classification: 47B38, 47B37

Remarks: 3 pages

The source file(s), Schuralgebra.tex: 6835 bytes, is(are) stored in gzipped form as 0910.3285.gz with size 3kb. The corresponding postcript file has gzipped size 44kb.

Submitted from: tessera@phare.normalesup.org

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