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arXiv 2014-09-11 0 views

The algebra of bounded linear operators on ℓₚ⊕ℓq has infinitely many closed ideals

Schlumprecht, Thomas · Zsák, András

Original · EN

We prove that in the reflexive range 1<p<q<∞ the algebra of all bounded linear operators on ℓₚ⊕ℓq has infinitely many closed ideals. This solves a problem raised by A. Pietsch in his book `Operator ideals'.

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