A theorem of Krein revisited

Details A theorem of Krein revisited A theorem of Krein revisited

2002-09-24

arxiv.org/abs/math/0209331v1

Mathematics

Functional Analysis

To appear in Rocky Mountain J. Math

Scientific paper

M. Krein proved in 1948 that if T is a continuous operator on a normed space
leaving invariant an open cone, then its adjoint T* has an eigenvector. We
present generalizations of this result as well as some applications to
C*-algebras, operators on l_1, operators with invariant sets, contractions on
Banach lattices, the Invariant Subspace Problem, and von Neumann algebras.

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