C-self-adjoint contractive extensions of C-symmetric non-densely defined contractions
Abstract
Given a conjugation (involution) C on a Hilbert space, C-self-adjoint contractive extensions of a non-densely defined C-symmetric contraction are studied and parameterizations of all such extensions are obtained. As an application, a proof of an announced result of Glazman Glazman1 on the existence of maximal dissipative C-self-adjoint extensions of a densely defined C-symmetric dissipative operator is given.
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