Extensions of isometric and symmetric linear relations in a Krein space

DOI10.5186/aasfm.1980.0524zbMath0481.47023OpenAlexW2332784500MaRDI QIDQ3937889

Pekka Sorjonen

Publication date: 1980

Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.1980.0524

zbMATH Keywords

extensionsKrein spaceCayley transformationsymmetric linear relationslinear relations in an indefinite inner product spacerectangular isometric linear relationsunitary linear relations

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (5)

Symmetric and Isometric Relations ⋮ Perturbations of elliptic operators on high codimension subsets and the extension theory on indefinite metric space ⋮ Linear relations and the Kronecker canonical form ⋮ Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions ⋮ Standard symmetric operators in Pontryagin spaces: A generalized von Neumann formula and minimality of boundary coefficients

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