A realization theorem for generalized Nevanlinna families

DOI10.7153/OAM-05-49zbMath1255.46011OpenAlexW2319818917MaRDI QIDQ2890635

Jussi Behrndt, Hassi, Seppo, Hendrik S. V. de Snoo, Vladimir A. Derkach

Publication date: 11 June 2012

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/oam-05-49-abs.pdf

zbMATH Keywords

Weyl functionPontryagin spaceKreĭn spaceboundary tripletunitary relationboundary relationWeyl family

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) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (10)

Boundary Triplets, Weyl Functions, and the Kreĭn Formula ⋮ Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior ⋮ Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents ⋮ Weyl families of transformed boundary pairs ⋮ On the similarity of boundary triples of symmetric operators in Krein spaces ⋮ Minimal realizations of generalized Nevanlinna functions ⋮ On the reproducing kernel of a Pontryagin space of vector valued polynomials ⋮ Zeros of nonpositive type of generalized Nevanlinna functions with one negative square ⋮ On some extensions of the A-model ⋮ The A-model with mutually equal model parameters can lead to a Hilbert space model

This page was built for publication: A realization theorem for generalized Nevanlinna families