Parrott's theorem and bounded solutions of a system of operator equations

DOI10.1007/s11785-016-0559-yzbMath1375.47005OpenAlexW2386622843MaRDI QIDQ522995

Akira Yamada

Publication date: 20 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0559-y

zbMATH Keywords

reproducing kernel Hilbert spaceslocally convex spacessystem of operator equationscomplementary spacesParrott's theorem

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Equations involving linear operators, with operator unknowns (47A62) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (2)

Operators on Anti-dual pairs: Self-adjoint Extensions and the Strong Parrott Theorem ⋮ Functional characterizations of trace spaces in Lipschitz domains

Cites Work

• Another approach to the strong Parrott theorem
• A note on Parrott's strong theorem
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Representations of hermitian kernels by means of Kreĭn spaces
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• A Strong Parrott Theorem
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• On the Strong Parrott Completion Problem
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Theory of Reproducing Kernels
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