A pre-order on operators with positive real part and its invariance under linear fractional transformations

DOI10.1016/j.jmaa.2014.06.052zbMath1295.47002arXiv1408.0525OpenAlexW2010753788MaRDI QIDQ401075

Sanne ter Horst

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0525

zbMATH Keywords

linear fractional transformationsCarathéodory functionsoperator pre-ordersoperators with positive real part

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

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

Cites Work

• Unnamed Item
• Preorders and equicalences on the operator sphere
• Some stability properties for analytic operator functions
• 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

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