Harnack and Shmul'yan pre-order relations for Hilbert space contractions

DOI10.1016/j.indag.2017.06.012OpenAlexW3100451987MaRDI QIDQ2012578

Laurian Suciu, Catalin Badea

Publication date: 1 August 2017

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01990

zbMATH Keywords

Toeplitz operatorsasymptotic limitpartial isometriesquasi-normal operatorsHilbert space contractionsHarnack pre-orderShmul'yan pre-order

Mathematics Subject Classification ID

Operator theory (47-XX) Functions of a complex variable (30-XX)

Cites Work

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• Classes of contractions and Harnack domination
• Hyperbolic geometry on noncommutative balls
• Noncommutative hyperbolic geometry on the unit ball of \(B(\mathcal H)^n\)
• Preorders and equicalences on the operator sphere
• The commutant lifting approach to interpolation problems
• General linear-fractional transformations of operator balls
• Harmonic analysis of operators on Hilbert space
• Maximum \(A\)-isometric part of an \(A\)-contraction and applications
• On the hyperbolic metric on Harnack parts
• Analytic formulas for the hyperbolic distance between two contractions
• A pre-order and an equivalence relation on Schur class functions and their invariance under linear fractional transformations
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• On the Uniform Ergodic Theorem

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