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Standard symmetric operators in Pontryagin spaces: a generalized von Neumann formula and minimality of boundary coefficients |
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| Authors: | Tomas Azizov Branko ?urgus Aad Dijksma |
| Institution: | a Department of Mathematics, Voronezh State University, Universitetskaya pl. 1, 394693 Voronezh, Russia b Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA c Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands |
| Abstract: | Certain meromorphic matrix valued functions on  , 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. |
| Keywords: | primary 47B50 47B25 34B07 47B32 secondary 46C20 47A06 |
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