On Domains of Powers of Linear Operators and Finite Rank Perturbations

DOI10.1007/978-3-7643-8911-6_2zbMath1177.47004OpenAlexW2142251619MaRDI QIDQ3613518

Carsten Trunk, Friedrich Philipp, Jussi Behrndt, Tomas Ya. Azizov

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00013447/IfM_Preprint_M_07_21.pdf

zbMATH Keywords

definitizable operatorsfinite rank perturbationsKrein spacespowers of operatorssymmetric and self-adjoint operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (5)

Finite rank perturbations of linear relations and matrix pencils ⋮ On domains and ranges of powers of linear relations in linear spaces ⋮ On a class of \(J\)-self-adjoint operators with empty resolvent set ⋮ Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces ⋮ Relatively bounded perturbations of \(J\)-non-negative operators

Cites Work

• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• On finite rank perturbations of definitizable operators
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