Extremal extensions for the sum of nonnegative selfadjoint relations

DOI10.1090/S0002-9939-07-08827-2zbMath1129.47015OpenAlexW2158274289MaRDI QIDQ5295101

Adrian Sandovici, Henrik Winkler, Hassi, Seppo, Hendrik S. V. de Snoo

Publication date: 27 July 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08827-2

zbMATH Keywords

Friedrichs extensionKreĭn-von Neumann extensionextremal extensionform sum extensionnonnegative selfadjoint relation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operator methods in interpolation, moment and extension problems (47A57) Positive linear operators and order-bounded operators (47B65)

Related Items

Finite rank perturbations of linear relations and matrix pencils ⋮ Extremal maximal sectorial extensions of sectorial relations ⋮ A factorization approach to the extension theory of the tensor product of nonnegative linear relations ⋮ Shorting, parallel addition and form sums of nonnegative selfadjoint linear relations ⋮ Von Neumann’s theorem for linear relations ⋮ Adjoints and formal adjoints of matrices of unbounded operators ⋮ A generalized von Neumann's theorem for linear relations in Hilbert spaces ⋮ A factorization of extremal extensions with applications to block operator matrices ⋮ COMPACT LINEAR RELATIONS AND THEIR SPECTRAL PROPERTIES KESHAV RAJ ACHARYA AND MATT MCBRIDE ⋮ On form sums of positive operators ⋮ A Class of Sectorial Relations and the Associated Closed Forms ⋮ Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations ⋮ Self-adjointness and skew-adjointness criteria involving powers of linear relations ⋮ Adjoint to each other linear relations. Nieminen type criteria ⋮ Essentially self-adjoint linear relations in Hilbert spaces ⋮ On the adjoint of linear relations in Hilbert spaces ⋮ Factorized sectorial relations, their maximal-sectorial extensions, and form sums ⋮ Operational calculus for rows, columns, and blocks of linear relations

Cites Work

• Form sums of nonnegative selfadjoint operators
• Quasi-self-adjoint contracting dilations of a Hermitian contraction
• Positive forms on Banach spaces
• On products of unbounded operators
• On operator ranges
• On Kreĭn's extension theory of nonnegative operators
• Extension theory of formally normal and symmetric subspaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item