RUS  ENG
Full version
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 10 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

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025