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The algebra of bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals
Published 11 Sep 2014 in math.FA | (1409.3480v1)
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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