Closedness and adjoints of products of operators, and compressions

DOI10.1007/s00020-012-1991-7zbMath1277.47002OpenAlexW2035658569MaRDI QIDQ1946539

Tomas Ya. Azizov, Aalt Dijksma

Publication date: 15 April 2013

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

Full work available at URL: https://pure.rug.nl/ws/files/2465799/2012IntegrEquOperTheoryAzizov2.pdf

zbMATH Keywords

Hilbert spaceKrein spaceproductcodimensionBanach spacecompressionadjointpolar decompositiondissipativeclosuresymmetricdense setself-adjointconjugatemaximal dissipative

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) Linear accretive operators, dissipative operators, etc. (47B44) Linear operators on spaces with an indefinite metric (47B50)

Related Items (10)

Continuous and holomorphic functions with values in closed operators ⋮ Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators ⋮ On compressions of self-adjoint extensions of a symmetric linear relation ⋮ Compressions of maximal dissipative and self-adjoint linear relations and of dilations ⋮ Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions ⋮ Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces ⋮ Symplectic self-adjointness of infinite dimensional Hamiltonian operators ⋮ Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein's resolvent formula ⋮ On symplectic self-adjointness of Hamiltonian operator matrices ⋮ W. Stenger's and M. A. Nudelman's results and resolvent formulas involving compressions

Cites Work

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• Spectral theory for Fredholm operators
• On the projection of a selfadjoint operator
• On the adjoint of the product of operators
• On projections of selfadjoint operators and operator product adjoints
• The conjugate of the product of operators

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