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arXiv:1409.3480 [math.FA]AbstractReferencesReviewsResources

The algebra of bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals

Thomas Schlumprecht, András Zsák

Published 2014-09-11Version 1

We prove that in the reflexive range $1<p<q<\infty$ the algebra of all bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals. This solves a problem raised by A. Pietsch in his book `Operator ideals'.

Comments: 18 pages
Categories: math.FA
Subjects: 47L20, 46B25
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