On norm closed ideals in L(lp,lq)
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It is well known that the only proper non-trivial norm closed ideal in the algebra L(X) for X = p (1 p < ) or X = c o is the ideal of compact operators. The next natural question is to describe all closed ideals of L(p q) for 1 p, q < , p q, or equivalently, the closed ideals in L(p, q) for p < q. This paper shows that for 1 < p < 2 < q < there are at least four distinct proper closed ideals in L(p, q), including one that has not been studied before. The proofs use various methods from Banach space theory. Instytut Matematyczny PAN, 2007.
author list (cited authors)
Sari, B., Schlumprecht, T. h., Tomczak-Jaegermann, N., & Troitsky, V. G.
complete list of authors
Sari, B||Schlumprecht, Th||Tomczak-Jaegermann, N||Troitsky, VG