The algebra of bounded linear operators\break on ℓ p ⊕ ℓ p has infinitely many closed ideals
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We prove that in the reflexive range 1 < p < q < ∞, the algebra Ⅎ(ℓp⊕ℓq) of all bounded linear operators on ℓp ⊕ ℓq has infinitely many closed ideals. This solves a problem raised by A. Pietsch [4, Problem 5.3.3] in his book 'Operator ideals'.
author list (cited authors)
Schlumprecht, T., & Zsák, A.