Operator theory - Properties of Hilbert Space Operators

by Kisengo, Samuel
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Kisengo, Samuel Operator theory - Properties of Hilbert Space Operators
Kisengo, Samuel - Operator theory - Properties of Hilbert Space Operators

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Description

This book is about numerical ranges and spectral properties of Hilbert space operators which have been of great interest to many mathematicians in the past decades. Nice properties with examples are explored. The properties of numerical range, for example, convexity and closedness are well known as proved in the classic Toeplitz - Hausdorff Theorem. In this book, we embark on the relationship between the spectrum and the numerical range of an operator, in particular, when the operator is normal. It is known that for a bounded linear operator on a Hilbert space, the spectrum is contained in the closure of its numerical range. For a normal operator, the numerical radius and the spectral radius coincides with the norm of the operator. These results are actually a contribution to the field of numerical ranges and spectra. For the reader to understand this book, it is paramount that a deep understanding of the theory of operators, especially on Hilbert spaces, General Topology, Functional Analysis and Abstract Algebra be put in place. This book is useful to both undergraduate students and postgraduate students.

Contributors

Author:
Kisengo, Samuel
Okelo, N. Benard
Bonyo, Job

Further information

Biography Artist:
Kisengo is a mathematician whose interest is in Operator theory with vast experience in teaching and research at Moi university as a lecturer of Mathematics. Okelo is experienced in teaching and research of Mathematics at Bondo University College Kenya. Bonyo is a highly published mathematician and researcher who teaches at Maseno University
Language:
English
Number of Pages:
84
Media Type:
Softcover
Publisher:
LAP Lambert Academic Publishing

Master Data

Product Type:
Paperback book
Release date:
18 October 2011
Package Dimensions:
0.22 x 0.15 x 0.005 m; 0.172 kg
GTIN:
09783846532522
DUIN:
N6CHAU1B12R
£40.90
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