Maps between Hilbert space effect algebras preserving unitary invariant norms of the sequential product. (English) Zbl 1442.81035
Summary: In this paper, we aim to characterize those bijective transformations on Hilbert space effect algebras that preserve any unitary invariant norm of the so-called sequential product \((A,B)\mapsto\sqrt{A}B\sqrt{A}\). The corresponding characterization provides a generalization of a former result of E. Kovács and L. Molnár [Rep. Math. Phys. 54, No. 2, 201–209 (2004; Zbl 1100.47032)].
MSC:
| 81R15 | Operator algebra methods applied to problems in quantum theory |
| 46L60 | Applications of selfadjoint operator algebras to physics |
| 47B49 | Transformers, preservers (linear operators on spaces of linear operators) |
Citations:
Zbl 1100.47032References:
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