scientific article; zbMATH DE number 2222918
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Publication:5701721
zbMath1096.47004MaRDI QIDQ5701721
Publication date: 4 November 2005
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Friedrichs extensionrigged Hilbert spaceKrein-von Neumann extensionlinear relationmultivalued linear operatornonnegative relationselfajoint extension
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Positive linear operators and order-bounded operators (47B65) Linear relations (multivalued linear operators) (47A06) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
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A factorization of extremal extensions with applications to block operator matrices ⋮ A canonical decomposition for linear operators and linear relations ⋮ Operators on anti-dual pairs: Lebesgue decomposition of positive operators ⋮ On symmetries in the theory of finite rank singular perturbations ⋮ Essentially self-adjoint linear relations in Hilbert spaces ⋮ Factorized sectorial relations, their maximal-sectorial extensions, and form sums ⋮ Completion, extension, factorization, and lifting of operators
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