A Class of Sectorial Relations and the Associated Closed Forms

DOI10.1007/978-3-030-44819-6_15OpenAlexW3123960203MaRDI QIDQ5150778

Hassi, Seppo, Hendrik S. V. de Snoo

Publication date: 15 February 2021

Published in: Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06846

zbMATH Keywords

Friedrichs extensionform sumKreĭn extensionextremal extensionsectorial relation

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Linear accretive operators, dissipative operators, etc. (47B44) Linear relations (multivalued linear operators) (47A06) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

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• Numerical range of a linear relation and maximal relations
• \(T^*T\) always has a positive selfadjoint extension
• Factorized sectorial relations, their maximal-sectorial extensions, and form sums
• Extremal maximal sectorial extensions of sectorial relations
• Componentwise and Cartesian decompositions of linear relations
• Maximal sectorial extensions and closed forms associated with them
• Boundary Value Problems, Weyl Functions, and Differential Operators
• Extremal extensions for the sum of nonnegative selfadjoint relations

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