Nest algebras in an arbitrary vector space
Rings and Algebras
2019-02-13 v1 Operator Algebras
Abstract
We examine the properties of algebras of linear transformations that leave invariant all subspaces in a totally ordered lattice of subspaces of an arbitrary vector space. We compare our results with those that apply for the corresponding algebras of bounded operators that act on a Hilbert space.
Cite
@article{arxiv.1902.04273,
title = {Nest algebras in an arbitrary vector space},
author = {Don Hadwin and K. J. Harrison},
journal= {arXiv preprint arXiv:1902.04273},
year = {2019}
}