Über indexerhaltende Erweiterungen eines hermiteschen Operators im Pontrjaginraum

DOI10.1002/mana.19740640118zbMath0353.47016OpenAlexW2095154540MaRDI QIDQ4123871

Matthias Großmann, Heinz K. Langer

Publication date: 1974

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19740640118

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (13)

Representation of measurable positive definite generalized Toeplitz kernels in \(\mathbb{R}\) ⋮ Selfadjoint extensions of symmetric operators in degenerated inner product spaces ⋮ On extensions of indefinite functions defined on a rectangle ⋮ Hermitian indefinite functions and Pontryagin spaces of entire functions. ⋮ Linear operators in spaces with indefinite metric and their applications ⋮ Continuation of Hermitian positive definite functions and related questions ⋮ Local group representations ⋮ Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces ⋮ Local semigroups of isometries in \(\Pi_ \kappa\)-spaces and related continuation problems for \(\kappa\)-indefinite Toeplitz kernels ⋮ Pontryagin spaces of entire functions. II ⋮ Entries of indefinite Nevanlinna matrices ⋮ The Kreĭn-Langer problem for Hilbert space operator valued functions on the band ⋮ Unitary extensions of two-parameter local semigroups of isometric operators and the Krein extension theorem

Cites Work

• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen

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