Operator Theory on Noncommutative Domains
By Gelu Popescu. 2007
83 citations recorded by the source corpus.
In this volume the author studies noncommutative domains $\mathcal{D}_f\subset B(\mathcal{H})^n$ generated by positive regular free holomorphic functions $f$ on $B(\mathcal{H})^n$, where $B(\mathcal{H})$ is the algebra of all bounded linear operators on a Hilbert space $\mathcal{H}$. Table of Contents: Introduction; Operator algebras associated with noncommutative domains; Free holomorphic functions on noncommutative domains; Model theory and unitary invariants on noncommutative domains; Commutant lifting and applications; Bibliography. (MEMO/205/964)
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ea076e1998c3e58fae8f3602db65927cdb76a829
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In Applied Mathematics
In Mathematical Physics
- Victor Vinnikov
- Dmitry S. Kaliuzhnyi-Verbovetskyi
- Joseph A. Ball
- Gregory Marx
- Jim Agler
- John E. McCarthy
Citations in the corpus
- Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients (2013, unknown): “Popescu obtained universal models for tuples satisfying a variety of different norm constraints, which include the row contractive condition as a special case [101].”
- Foundations of Free Noncommutative Function Theory (2012, background): “Such classes of formal power series appear as the noncommutative generalization of the classical Schur class of contractive analytic functions on the unit disc [2, 48, 14] in the operator model theory for row contractions and more general noncommuting operator tuples [81, 82, 83, 84, 87] and in the ”
- Free holomorphic functions on the unit ball of B(H)n (2006, unknown): “As a consequence, we obtain a Schwarz–Pick lemma for free holomorphic functions on [B(H)n]1 with operator-valued coefficients, with respect to the pseudohyperbolic metric.”