From local to global ideal-triangularizability
Functional Analysis
2015-09-01 v1
Abstract
Let L be a Banach lattice with order continuous norm, and let S be a multiplicative semigroup of ideal-triangularizable positive compact operators on L such that, for every pair A, B in S, the atomic diagonal of the commutator AB-BA is equal to zero. We prove that the semigroup S is ideal-triangularizable.
Keywords
Cite
@article{arxiv.1309.4280,
title = {From local to global ideal-triangularizability},
author = {Roman Drnovšek and Marko Kandić},
journal= {arXiv preprint arXiv:1309.4280},
year = {2015}
}
Comments
16 pages; to appear in Linear and Multilinear Algebra