On certain automorphisms of sets of partial isometries

Details On certain automorphisms of sets of partial isometries On certain automorphisms of sets of partial isometries

2000-11-04

arxiv.org/abs/math/0011028v1

Mathematics

Functional Analysis

9 pages. To appear in Arch. Math

Scientific paper

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.

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