Accretive and sectorial extensions of nonnegative symmetric operators

DOI10.1007/s11785-011-0169-7zbMath1294.47010OpenAlexW2085064608MaRDI QIDQ371700

Yu. D. Kovalev, Yury M. Arlinskiĭ, Eduard Tsekanovskii

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-011-0169-7

zbMATH Keywords

symmetric operatorFriedrichs extension\(m\)-accretive operator\(m\)-sectorial operatorKreĭn-von Neumann extensionquasi-selfadjoint extensions

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items

The proper dissipative extensions of a dual pair, Spectral enclosures for non-self-adjoint extensions of symmetric operators, Maximal quasi-accretive Laplacians on finite metric graphs, A Birman-Kreĭn-Vishik-Grubb theory for sectorial operators, The nonproper dissipative extensions of a dual pair, On the c-entropy of L-systems with Schrödinger operator, m-Accretive extensions of a sectorial operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the extension problem for accretive differential operators
• On the extension problem for singular accretive differential operators
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Extremal extensions of sectorial linear relations
• The von Neumann problem for nonnegative symmetric operators
• Perturbation theory for linear operators.
• The extension theory of Hermitian operators and the moment problem
• Positive selfadjoint extensions of positive symmetric operators
• On operator ranges
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• On von Neumann’s problem in extension theory of nonnegative operators
• On Matrix-Valued Herglotz Functions
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Norm Preserving Extensions of Linear Transformations on Hilbert Spaces