A theorem of Krein revisited

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
To appear in Rocky Mountain J. Math

Keywords

Functional Analysis, 46B40, 47B60, 47B65

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65066

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209331
 http://arxiv.org/abs/math/0209331

Collections

arXiv