Unitary invariants in multivariable operator theory

Details Unitary invariants in multivariable operator theory Unitary invariants in multivariable operator theory

2004-10-22

arxiv.org/abs/math/0410492v1

Mem. Amer. Math. Soc. 200 (2009), no. 941, vi+91 pp.

Mathematics

Operator Algebras

73 pages, submitted for publication in April 2004

Scientific paper

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. $\rho$-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

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