Essentially self-adjoint linear relations in Hilbert spaces

DOI10.1007/s10998-020-00373-8zbMath1495.47008OpenAlexW3126778008MaRDI QIDQ2052778

Marcel Roman, Adrian Sandovici

Publication date: 27 November 2021

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-020-00373-8

zbMATH Keywords

Hilbert spacesymmetric linear relationnonnegative linear relationessentially self-adjoint linear relation

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Positive linear operators and order-bounded operators (47B65) Linear relations (multivalued linear operators) (47A06)

Cites Work

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• On domains and ranges of powers of linear relations in linear spaces
• Operational calculus of linear relations
• Form sums of nonnegative selfadjoint operators
• Positive selfadjoint extensions of positive symmetric subspaces
• Self-adjointness and skew-adjointness criteria involving powers of linear relations
• \(T^*T\) always has a positive selfadjoint extension
• Factorization, majorization, and domination for linear relations
• Operators having selfadjoint squares
• Adjoint of sums and products of operators in Hilbert spaces
• Characterizations of essentially self-adjoint and skew-adjoint operators
• Componentwise and Cartesian decompositions of linear relations
• Von Neumann’s theorem for linear relations
• Extremal extensions for the sum of nonnegative selfadjoint relations
• Characterizations of selfadjoint operators

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