Notes on the Brown-Douglas-Fillmore theorem / Sameer Chavan, Gadadhar Misra.

Format:

Book

Author/Creator:

Chavan, Sameer, author.

Misra, Gadadhar, author.

Series:

Cambridge - IISc series.

Cambridge-IISc series

Language:

English

Subjects (All):

Operator theory.

Topological algebras.

C*-algebras.

Physical Description:

1 online resource (xi, 246 pages) : digital, PDF file(s).

Place of Publication:

Cambridge ; New York, NY : Cambridge University Press, 2021.

Summary:

Suitable for both postgraduate students and researchers in the field of operator theory, this book is an excellent resource providing the complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic operator theory taught at the first year graduate level course. To quickly get to the main points of the proof of the theorem, several topics that aid in the understanding of the proof are included in the appendices. These topics serve the purpose of providing familiarity with a large variety of tools used in the proof and adds to the flexibility of reading them independently.

Contents:

Spectral theory for Hilbert space operators

Ext(X) as a semigroup with identity

Splitting and the Mayer-Vietoris sequence

Determination of Ext(X) as a group for planar sets

Applications to operator theory.

Notes:

Title from publisher's bibliographic system (viewed on 30 Jun 2021).

Includes bibliographical references and index.

ISBN:

1-009-03245-3

1-009-02330-6

OCLC:

1251741179