Around the Van Daele-Schmüdgen theorem

DOI10.1007/s00020-014-2143-zzbMath1320.47023arXiv1312.6502OpenAlexW2124808388MaRDI QIDQ487208

Valentin A. Zagrebnov, Yury M. Arlinskiĭ

Publication date: 19 January 2015

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

Full work available at URL: https://arxiv.org/abs/1312.6502

zbMATH Keywords

liftingFriedrichs extensionshorted operatoroperator rangeKreĭn extensionparallel additionVan Daele-Schmüdgen theoremvon Neumann theorem

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Forms (bilinear, sesquilinear, multilinear) (47A07) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (8)

On the mappings connected with parallel addition of nonnegative operators ⋮ Unbounded Hamiltonians generated by Parseval frames ⋮ Families of symmetric operators with trivial domains of their squares ⋮ CHERNOFF-LIKE COUNTEREXAMPLES RELATED TO UNBOUNDED OPERATORS ⋮ Cloning of symmetric operators ⋮ On the Kato square root problem ⋮ Unnamed Item ⋮ Everything is possible for the domain intersection dom \(T \cap\) dom \(T^\ast\)

Cites Work

• Operational calculus of linear relations
• \(Q\)-functions of Hermitian contractions of Kreĭn-Ovcharenko type
• Quasi-sectorial contractions
• Means of positive linear operators
• On semibounded restrictions of self-adjoint operators
• Some estimates for analytic functions of strip or sectorial operators
• Comments on the Trotter product formula error-bound estimates for non-selfadjoint semigroups
• Numerical range and quasi-sectorial contractions
• Series and parallel addition of matrices
• On operator ranges
• A Semibounded Closed Symmetric Operator Whose Square Has Trivial Domain
• Operators in divergence form and their Friedrichs and Krein extensions
• Dense Subalgebras of Left Hilbert Algebras
• Shorted Operators. II
• On the Trotter-Lie product formula
• Does Each Symmetric Operator Have a Stability Domain?
• ON INTERSECTIONS OF DOMAINS OF UNBOUNDED POSITIVE OPERATORS
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Shorted Operators
• L'adjoint du produit de deux opérateurs fermés
• L'adjoint du produit de deux opérateurs fermés
• Étude sur les variétés et les opérateurs de Julia, avec quelques applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Around the Van Daele-Schmüdgen theorem