Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598573 | Linear Algebra and its Applications | 2016 | 15 Pages |
Abstract
In this paper we study sufficient conditions for an operator to have an almost-invariant half-space. As a consequence, we show that if X is an infinite-dimensional complex Banach space then every operator T∈L(X)T∈L(X) admits an essentially-invariant half-space. We also show that whenever a closed algebra of operators possesses a common AIHS, then it has a common invariant half-space as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gleb Sirotkin, Ben Wallis,