Definitizable extensions of positive symmetric operators in a Krein space

DOI10.1007/BF01194557zbMath0687.47029MaRDI QIDQ1263064

Branko Ćurgus

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Krein spaceFriedrichs extensionbounded from below operatorcharacterizations in terms of spectral function for definitizablecharacterizations in terms of spectral function for definitizable extensions of a semibounded symmetric operatorextensions of a semibounded symmetric operatorKrein extensions of positive operators in Krein spacespositive definitizable extensions of a positive operator in apositive definitizable extensions of a positive operator in a Krein space

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Positive and negative eigenfunction expansion results for indefinite Sturm-Liouville problems

Cites Work

• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• On the regularity of the critical point infinity of definitizable operators
• Self-adjoint operators
• Positive selfadjoint extensions of positive symmetric operators
• Verallgemeinerte Resolventen eines J-nichtnegativen Operators mit endlichem Defekt. (Generalized resolvents of a J-nonnegative operator with finite defect.)
• Positive self-adjoint extensions of operators affiliated with a von Neumann algebra.
• Some Questions in the Perturbation Theory ofJ-Nonnegative Operators in Krein Spaces
• Complementation in Krein Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Definitizable extensions of positive symmetric operators in a Krein space