M. Kreĭn’s Research on Semi-Bounded Operators, its Contemporary Developments, and Applications

DOI10.1007/978-3-7643-9919-1_5zbMath1201.47026OpenAlexW190564800MaRDI QIDQ3652945

Eduard Tsekanovskii, Yury M. Arlinskiĭ

Publication date: 18 December 2009

Published in: Modern Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9919-1_5

zbMATH Keywords

singular perturbationsaccretive and sectorial extensionssemi-bounded and nonnegative operatorsvon Neumann and Phillips-Kato extension problems

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear symmetric and selfadjoint operators (unbounded) (47B25) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Positive linear operators and order-bounded operators (47B65)

Related Items (19)

Spectral theory for perturbed Krein Laplacians in nonsmooth domains ⋮ The proper dissipative extensions of a dual pair ⋮ The Krein–von Neumann extension revisited ⋮ Extremal maximal sectorial extensions of sectorial relations ⋮ Reduction of positive self-adjoint extensions ⋮ Cloning of symmetric operators ⋮ On realization of the original Weyl-Titchmarsh functions by Shrödinger L-systems ⋮ Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula ⋮ A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains ⋮ On the criteria of transversality and disjointness of nonnegative self-adjoint extensions of nonnegative symmetric operators ⋮ A Birman-Kreĭn-Vishik-Grubb theory for sectorial operators ⋮ The nonproper dissipative extensions of a dual pair ⋮ Towards generalized Riesz systems theory ⋮ On complementable operators in the sense of T. Ando ⋮ On dual definite subspaces in Krein space ⋮ The closed extensions of a closed operator ⋮ On sectorial L-systems with Shrödinger operator ⋮ On the c-entropy of L-systems with Schrödinger operator ⋮ Completion, extension, factorization, and lifting of operators

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