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Dual algebras with applications to invariant subspaces and dilation theory

Author: Hari Bercovici; Ciprian Foiaş; Carl M Pearcy; Conference Board of the Mathematical Sciences.
Publisher: Providence, R.I. : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, ©1985.
Series: Regional conference series in mathematics, no. 56.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The theory of dual algebras has made tremendous progress since 1978, when Scott Brown originated some of the main ideas to solve the invariant subspace problem for subnormal operators. This book  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Hari Bercovici; Ciprian Foiaş; Carl M Pearcy; Conference Board of the Mathematical Sciences.
ISBN: 0821807064 9780821807064
OCLC Number: 11517465
Notes: "Supported by the National Science Foundation."
"Expository lectures from the CBMS regional conference held at Arizona State University May 21-May 25, 1984"--Title page verso.
Description: xi, 108 pages ; 26 cm.
Contents: Dual algebras Simultaneous systems of equations in the predual of a dual algebra The properties $X_{\theta, \gamma}$ and the properties $(\mathbf A_n)$ Singly generated dual algebras Dilation theory of the class $\mathbf A_{\aleph_0}$ Sufficient conditions for membership in $\mathbf A_{\aleph_0}$ Weak density and membership in $\mathbf A_{\aleph_0}$ The classes (BCP)$_\theta$ and the functional model of a contractin Invariant subspaces and reflexivity Applications to shifts and subnormal operators References.
Series Title: Regional conference series in mathematics, no. 56.
Responsibility: by Hari Bercovici, Ciprian Foiaș, and Carl Pearcy.

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