Document Type
Lecture
Publication Date
1-23-2003
Abstract
In the first part of our talk, we prove that if an operator on a real Banach space satisfies an equation of rotation, then it does not have a hyperinvariant subspace. That completes our research on Lomonosov's Invariant Subspace Theorem in real Banach spaces, since this is the converse statement to one proved in the previous three talks. In the second part, we will discuss some spectral properties of transitive operators (operators without invariant subspaces). Namely, we will show that all points of the spectrum of any transitive operator are infinitely singular for T.
Relational Format
presentation
Recommended Citation
Sirotkin, Gleb, "Some Properties of Transitive Operators" (2003). Analysis Seminar. 66.
https://egrove.olemiss.edu/math_analysis/66
