This article is cited in 3 papers

On the theory of nonselfadjoint operators of Schrödinger type with a matrix potential

B. P. Allakhverdiev

Institute of Applied Mathematics and Mechanics AS of AzSSR

Abstract: The author studies the theory of dilation, characteristic function, and spectral analysis of dissipative operators of Schrödinger type with a matrix potential in $L_2((0,\infty);E)$ which are an extension of a minimal symmetric operator with defect indices $(2n,2n)$ $(\dim E=n<\infty)$.

UDC: 517.984

MSC: Primary 34L40, 47A20, 47A45, 47B44; Secondary 34L25

Received: 12.09.1989
Revised: 21.05.1992

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1993, 41:2, 193–205

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