Quotients of Bounded Operators

DOI10.2307/2048823zbMath0757.47001OpenAlexW4254626038MaRDI QIDQ4710555

Saichi Izumino

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048823

zbMATH Keywords

normal operatorsbounded linear operators on a Hilbert spacebounded quotients\(D\)-solutiondecomposition into the closable part and the singular part

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (14)

Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators ⋮ Note on the assumptions in working with generalized inverses ⋮ Semi-Fredholm operators and pure contractions in Hilbert space ⋮ Lebesgue-type decomposition of positive operators ⋮ Quotient operators and the open mapping theorem ⋮ A metric for unbounded linear operators in a Hilbert space ⋮ Positive symmetric quotients and their selfadjoint extensions ⋮ Douglas' + Sebestyén's lemmas = a tool for solving an operator equation problem ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators ⋮ Quotient of linear relations and applications ⋮ Positivity of $2\times2$ block matrices of operators ⋮ Characterization of B-Fredholm quotient operator with application to strict quasi-normal contractions ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Unbounded operators: Perturbations and commutativity problems
• Boundedness of closed linear operator T satisfying R(T)\(\subset D(T)\)
• On operator ranges
• Closed Operators and Pure Contractions in Hilbert Space
• Semiclosed Operators in Hilbert Space
• Representing a Closed Operator as a Quotient of Continuous Operators
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Étude sur les variétés et les opérateurs de Julia, avec quelques applications

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