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arXiv · 1409.3480

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

Thomas Schlumprecht·András Zsák
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Abstract

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'.

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Thomas Schlumprecht, András Zsák. 2014-09-11. The algebra of bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals. https://arxiv.org/abs/1409.3480

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