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Standard symmetric operators in Pontryagin spaces

Source :
Journal of functional analysis. 198(2):361-412
Publication Year :
2003

Abstract

Certain meromorphic matrix valued functions on C\R, the so-called boundary coefficients, are characterized in terms of a standard symmetric operator S in a Pontryagin space with finite (not necessarily equal) defect numbers, a meromorphic mapping into the defect subspaces of S, and a boundary mapping for S. Under some simple assumptions the boundary coefficients also satisfy a minimality condition. It is shown that these assumptions hold if and only if for S a generalized von Neumann equality is valid.

Details

Language :
English
ISSN :
00221236
Volume :
198
Issue :
2
Database :
OpenAIRE
Journal :
Journal of functional analysis
Accession number :
edsair.dris...01423..7e8764adb4e9b7eb8a8a1bf6e3d88f59