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Unitary Invariants in Multivariable Operator Theory

2009-06-05 Mathematics
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Release : 2009-06-05
Genre : Mathematics
Kind : eBook
Book Rating : 966/5 ( reviews)

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Book Synopsis Unitary Invariants in Multivariable Operator Theory by : Gelu Popescu

Download or read book Unitary Invariants in Multivariable Operator Theory written by Gelu Popescu. This book was released on 2009-06-05. Available in PDF, EPUB and Kindle. Book excerpt: This paper concerns unitary invariants for $n$-tuples $T:=(T_1,\ldots, T_n)$ of (not necessarily commuting) bounded linear operators on Hilbert spaces. The author introduces a notion of joint numerical radius and works out its basic properties. Multivariable versions of Berger's dilation theorem, Berger-Kato-Stampfli mapping theorem, and Schwarz's lemma from complex analysis are obtained. The author studies the joint (spatial) numerical range of $T$ in connection with several unitary invariants for $n$-tuples of operators such as: right joint spectrum, joint numerical radius, euclidean operator radius, and joint spectral radius. He also proves an analogue of Toeplitz-Hausdorff theorem on the convexity of the spatial numerical range of an operator on a Hilbert space, for the joint numerical range of operators in the noncommutative analytic Toeplitz algebra $F_n^\infty$.

Multivariable Operator Theory

1995 Mathematics
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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 984/5 ( reviews)

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Book Synopsis Multivariable Operator Theory by : Raúl E. Curto

Download or read book Multivariable Operator Theory written by Raúl E. Curto. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers presented at a conference on multivariable operator theory. The articles contain contributions to a variety of areas and topics which may be viewed as forming an emerging new subject. This subject involves the study of geometric rather than topological invariants associated with the general theme of operator theory in several variables. This collection will spur further discussion among the different research groups.

On Certain Invariants in Multivariable Operator Theory

2001
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Release : 2001
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis On Certain Invariants in Multivariable Operator Theory by : Devin Cameron Vaughan Greene

Download or read book On Certain Invariants in Multivariable Operator Theory written by Devin Cameron Vaughan Greene. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

Multivariable Operator Theory

2024-01-22 Mathematics
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Release : 2024-01-22
Genre : Mathematics
Kind : eBook
Book Rating : 352/5 ( reviews)

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Book Synopsis Multivariable Operator Theory by : Ernst Albrecht

Download or read book Multivariable Operator Theory written by Ernst Albrecht. This book was released on 2024-01-22. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Operator Theory on Noncommutative Domains

2010 Mathematics
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Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 104/5 ( reviews)

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Book Synopsis Operator Theory on Noncommutative Domains by : Gelu Popescu

Download or read book Operator Theory on Noncommutative Domains written by Gelu Popescu. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 964 (third of 5 numbers)."

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