On certain automorphisms of sets of partial isometries
Functional Analysis
2007-05-23 v1 Operator Algebras
Abstract
Under the mild condition of continuity at a single point we describe all the bijections of the set of all partial isometries on a Hilbert space which preserve the order and the orthogonality in both directions. Moreover, we present a natural analogue of Wigner's theorem on quantum mechanical symmetries for the set of all rank-1 partial isometries.
Keywords
Cite
@article{arxiv.math/0011028,
title = {On certain automorphisms of sets of partial isometries},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/0011028},
year = {2007}
}
Comments
9 pages. To appear in Arch. Math