Exotic indecomposable systems of four subspaces in a Hilbert space
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
We study the relative position of four subspaces in a Hilbert space. For any positive integer n, we give an example of exotic indecomposable system of four subspaces in a Hilbert space whose defect is (2n+1)/3. By an exotic system, we mean a system which is not isomorphic to any closed operator system under any permutation of subspaces. We construct the examples by a help of certain nice sequences used by Jiang and Wang in their study of strongly irreducible operators.
Cite
@article{arxiv.math/0607085,
title = {Exotic indecomposable systems of four subspaces in a Hilbert space},
author = {Masatoshi Enomoto and Yasuo Watatani},
journal= {arXiv preprint arXiv:math/0607085},
year = {2007}
}
Comments
16pages