An application of the Parrott's theorem to the geometry of the unit sphere

DOI10.1006/jmaa.1999.6498zbMath0936.47006OpenAlexW2011296247MaRDI QIDQ1305474

Aleksej Turnšek

Publication date: 5 December 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6498

zbMATH Keywords

maximum modulus theoremoperator matricescontraction extensionmatrix extreme pointsoperator matrix valued analytic functions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20)

Cites Work

• Unnamed Item
• Another approach to the strong Parrott theorem
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Schur parameters, factorization and dilation problems
• On operator ranges
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space

This page was built for publication: An application of the Parrott's theorem to the geometry of the unit sphere