Conjugations of Unitary Operators, II

2024/02/22 by Mashreghi, Javad, Ptak, Marek, Ross, William T. · 1 citation
#47A65 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2402.14997

Abstract

For a given unitary operator U on a separable complex Hilbert space \h, we describe the set \mathscrC_c(U) of all conjugations C (antilinear, isometric, and involutive maps) on \h for which C U C = U. As this set might be empty, we also show that \mathscrC_c(U) \not = \varnothing if and only if U is unitarily equivalent to U^*.

Cited by

• C-self-adjoint contractive extensions of C-symmetric non-densely defined contractions

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