Sequences of operators, monotone in the sense of contractive domination

DOI10.1007/S11785-024-01507-3MaRDI QIDQ6539968

S. Hassi, H. S. V. de Snoo

Publication date: 15 May 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

monotonicity principledomination of linear relationsnondecreasing sequences of linear relations in the sense of domination

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear symmetric and selfadjoint operators (unbounded) (47B25) Positive linear operators and order-bounded operators (47B65) Operators on Hilbert spaces (general) (47B02)

Cites Work

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• A canonical decomposition for quadratic forms with applications to monotone convergence theorems
• A canonical decomposition for linear operators and linear relations
• Monotone convergence theorems for semi-bounded operators and forms with applications
• Componentwise and Cartesian decompositions of linear relations
• Sectorial forms and degenerate differential operators
• Positive Forms and Dilations
• Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion
• Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators
• Boundary Value Problems, Weyl Functions, and Differential Operators
• Complementation and Lebesgue type decompositions of linear operators and relations

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