Stable approximate evaluation of unbounded operators

Bibliographic Information

Stable approximate evaluation of unbounded operators

Charles W. Groetsch

(Lecture notes in mathematics, 1894)

Springer, c2007

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Note

Includes bibliographical references (p. [121]-123) and index

Description and Table of Contents

Description

This book teams up the spectral theory of bounded linear operators with von Neumann's theory of unbounded operators to provide a framework for the study of stable methods for the evaluation of unbounded operators. The text presents numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. It also offers an extensive exposition of background material from the theory of operators on Hilbert space.

Table of Contents

Some Problems Leading to Unbounded Operators.- Hilbert Space Background.- A General Approach to Stabilization.- The Tikhonov-Morozov Method.- Finite-Dimensional Approximations.

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