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Operator Theory on Noncommutative Domains
 
Gelu Popescu University of Texas at San Antonio, San Antonio, TX
Front Cover for Operator Theory on Noncommutative Domains
Available Formats:
Electronic ISBN: 978-1-4704-0578-6
Product Code: MEMO/205/964.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $43.80
Front Cover for Operator Theory on Noncommutative Domains
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  • Front Cover for Operator Theory on Noncommutative Domains
  • Back Cover for Operator Theory on Noncommutative Domains
Operator Theory on Noncommutative Domains
Gelu Popescu University of Texas at San Antonio, San Antonio, TX
Available Formats:
Electronic ISBN:  978-1-4704-0578-6
Product Code:  MEMO/205/964.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $43.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2052010; 124 pp
    MSC: Primary 47; 46;

    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
     
     
    • Chapters
    • Introduction
    • 1. Operator algebras associated with noncommutative domains
    • 2. Free holomorphic functions on noncommutative domains
    • 3. Model theory and unitary invariants on noncommutative domains
    • 4. Commutant lifting and applications
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Volume: 2052010; 124 pp
MSC: Primary 47; 46;

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 \(\mathcal{H}\).

  • Chapters
  • Introduction
  • 1. Operator algebras associated with noncommutative domains
  • 2. Free holomorphic functions on noncommutative domains
  • 3. Model theory and unitary invariants on noncommutative domains
  • 4. Commutant lifting and applications
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