Generalized resolvents of closed dissipative operators in a Hilbert space with a $\mathscr{J}$ metric

V. I. Utkin

Chuvash State Pedagogical Institute

Abstract: Generalized resolvents of a closed $\mathscr{J}$-dissipative operator in a Hilbert space with a $\mathscr{J}$ metric are defined and studied; in particular, a formula of generalized resolvents of such an operator is obtained.

UDC: 513.8

Received: 09.06.1975

 English version: Mathematical Notes, 1976, 20:2, 704–710

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