Unitary invariants in multivariable operator theory
Operator Algebras
2009-11-29 v1 Functional Analysis
Abstract
The problems considered in this paper come as a natural continuation of our program to develop a free analogue of Sz.-Nagy-Foias theory, for row contractions. The paper is structured as follows: Introduction Part I. Unitary invariants for n-tuples of operators 1. Joint numerical radius 2. Euclidean operator radius 3. Joint numerical range and spectrum 4. -operator radius Part II. Joint operator radii, inequalities, and applications 5. von Neumann inequalities 6. Constrained von Neumann inequalities 7. Multivariable Haagerup-de la Harpe inequalities 8. Multivariable Fejer inequalities References
Cite
@article{arxiv.math/0410492,
title = {Unitary invariants in multivariable operator theory},
author = {Gelu Popescu},
journal= {arXiv preprint arXiv:math/0410492},
year = {2009}
}
Comments
73 pages, submitted for publication in April 2004