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Factorizations in preduals associated to ρ-contractions Cover

Abstract

We establish directly factorization results for classes of ρ-contractions, corresponding to those obtained for certain classes of contractions. As an example of result which is not an immediate consequence of the fact that any ρ-contraction is similar to an ordinary contraction we give an "optimal" characterization of absolutely continuous ρ-contractions whose associated functional calculus has Property (Aא₀). Along the way we show that a ρ-contraction is absolutely continuous if and only if it admits an absolutely continuous unitary ρ-dilation generalizing a well- known result for usual contractions.

DOI: https://doi.org/10.1515/awutm-2015-0001 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 3 - 17
Submitted on: Jan 10, 2015
Accepted on: Feb 28, 2015
Published on: Dec 12, 2015
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2015 Bernard Chevreau, Aurelian Crăciunescu, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.