Von Neumann’s theorem for linear relations
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Publication:4580047
DOI10.1080/03081087.2017.1369930OpenAlexW2752065100MaRDI QIDQ4580047
Publication date: 13 August 2018
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2017.1369930
Hilbert spacevon Neumann theoremclosed linear relationnonnegative linear relationselfadjoint linear relation
Linear symmetric and selfadjoint operators (unbounded) (47B25) Positive linear operators and order-bounded operators (47B65) Linear relations (multivalued linear operators) (47A06)
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Cites Work
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- Operational calculus of linear relations
- Form sums of nonnegative selfadjoint operators
- Positive selfadjoint extensions of positive symmetric subspaces
- Über adjungierte Funktionaloperatoren
- \(T^*T\) always has a positive selfadjoint extension
- Factorization, majorization, and domination for linear relations
- A reversed von Neumann theorem
- Adjoint of sums and products of operators in Hilbert spaces
- Componentwise and Cartesian decompositions of linear relations
- Extremal extensions for the sum of nonnegative selfadjoint relations
- Characterizations of selfadjoint operators
