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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1968 Volume 32, Issue 1, Pages 186–207 (Mi im2697)

This article is cited in 9 papers

On the extensions and the characteristic function of a symmetric operator

A. V. Strauss


Abstract: In this paper we describe a class of dissipative and “accumulative” extensions of a symmetric operator $A$ acting in a Hilbert space $H$. The concept of the characteristic function of an operator $A$ is defined in terms of such extensions, and its boundary values are studied. In the general case the domain of definition of the operator $A$ is not assumed to be dense in $H$.

UDC: 517.9

MSC: 47B44, 46C05, 47B25, 47A20

Received: 24.05.1967


 English version:
Mathematics of the USSR-Izvestiya, 1968, 2:1, 181–203

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