Journal of Operator Theory
Volume 37, Issue 2, Spring 1997 pp. 371-378.
Subspaces and subalgebras of K(H) whose duals have the Schur propertyAuthors: Ali Ãœlger
Author institution: Mathematics Department, Koç University, 80860-Istinye, Istanbul, TURKEY. E-mail: aulger@ku.edu.tr
Summary: Let K(H) be the algebra of the compact operators on a Hilbert space H. Recently, S.W. Brown has shown that the dual A* of a commutative closed subalgebra of K(H) satisfying a very mild condition has the Schur property. In this paper, continuing this work of S.W. Brown, we characterize the closed subspaces and subalgebras of K(H) whose duals have the Schur property.
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