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The Krein formula in almost Pontryagin spaces. A proof via orthogonal coupling |
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| Authors: | Henk de Snoo Harald Woracek |
| Affiliation: | 1. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, PO Box 407, 9700 AK Groningen, Netherlands;2. Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstraße 8-10/101, 1040 Wien, Austria |
| Abstract: | A new proof is provided for the Krein formula for generalized resolvents in the context of symmetric operators or relations with defect numbers in an almost Pontryagin space. The new proof is geometric and uses the orthogonal coupling of the almost Pontryagin spaces induced by the -function and the parameter function in the Krein formula. |
| Keywords: | Almost Pontryagin space Krein’s formula Orthogonal coupling Generalized resolvent |
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