Spectral properties of operators having dense orbits

Authors

Valentin Matache, University of Nebraska at OmahaFollow

Author ORCID Identifier

Valentin Matache

Document Type

Article

Publication Date

1995

Publication Title

Topics in operator theory, operator algebras and applications

First Page

221

Last Page

237

Abstract

In the following H will denote a separable, infinite-dimensional, complex Hilbert space. The term operator will always mean linear, bounded operator on H. By invariant subspace we mean closed, invariant linear manifold. For a given operator T, the set of all invariant subspaces of T will be denoted LatT, since obviously it is a lattice. The set of all operators commuting with T is denoted {T}'. A subspace will be called hyperinvariant for T if it is invariant under any operator in {T}'.

Comments

This article was reused with permission.

Recommended Citation

Matache, Valentin Spectral properties of operators having dense orbits. Topics in operator theory, operator algebras and applications (Timişoara, 1994), 221–237, Rom. Acad., Bucharest, 1995. 47A10 (47A15)