A generalized von Neumann's theorem for linear relations in Hilbert spaces

DOI10.1007/s00025-024-02145-zOpenAlexW4392885135MaRDI QIDQ6127002

Marcel Roman, Adrian Sandovici

Publication date: 10 April 2024

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-024-02145-z

zbMATH Keywords

Hilbert spacevon Neumann theoremclosed linear relationnonnegative linear relationselfadjoint 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On operator factorization of linear relations
• An index formula for the product of linear relations
• Operational calculus of linear relations
• Form sums of nonnegative selfadjoint operators
• Positive selfadjoint extensions of positive symmetric subspaces
• \(T^*T\) 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
• Von Neumann’s theorem for linear relations
• Boundary Value Problems, Weyl Functions, and Differential Operators
• On a theorem of Z. Sebestyén and Zs. Tarcsay
• Extremal extensions for the sum of nonnegative selfadjoint relations
• Characterizations of selfadjoint operators
• Certain properties involving the unbounded operators \(p(T)\), \(TT^\ast\), and \(T^\ast T\); and some applications to powers and \textit{nth} roots of unbounded operators

This page was built for publication: A generalized von Neumann's theorem for linear relations in Hilbert spaces