On norm closed ideals in L(lp,lq) Academic Article uri icon

abstract

  • 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.

published proceedings

  • Studia Mathematica

author list (cited authors)

  • Sari, B., Schlumprecht, T. h., Tomczak-Jaegermann, N., & Troitsky, V. G.

citation count

  • 20

complete list of authors

  • Sari, B||Schlumprecht, Th||Tomczak-Jaegermann, N||Troitsky, VG

publication date

  • January 2007