Relative position of three subspaces in a Hilbert space
Operator Algebras
2014-10-15 v2 Functional Analysis
Abstract
We study the relative position of three subspaces in a separable infinite-dimensional Hilbert space. In the finite-dimensional case, Brenner described the general position of three subspaces completely. We extend it to a certain class of three subspaces in an infinite-dimensional Hilbert space. We also give a partial result which gives a condition on a system to have a (dense) decomposition containing a pentagon.
Cite
@article{arxiv.1407.6852,
title = {Relative position of three subspaces in a Hilbert space},
author = {Masatoshi Enomoto and Yasuo Watatani},
journal= {arXiv preprint arXiv:1407.6852},
year = {2014}
}
Comments
22 pages, Proposition 4.1 added, typos added, references added. arXiv admin note: substantial text overlap with arXiv:math/0404545