Stable Approximate Evaluation of Unbounded Operators - Lecture Notes in Mathematics 1894 (Paperback)Charles W. Groetsch (author)
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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.
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Number of pages: 133
Weight: 231 g
Dimensions: 235 x 155 x 8 mm
Edition: 2007 ed.
From the reviews:
"This interesting monograph is devoted to the stable evaluation of the action of unbounded operators defined on Hilbert spaces. This problem is considered as an abstract mathematical problem within the scope of operator approximation theory. To motivate the discussion, the mathematical theory of inverse problems is briefly introduced. ... The monograph is reasonably self-contained and elegantly written. It gradually invites the reader to learn more about the difficulties of solving ill-posed problems." (Antonio C. G. Leitao, Mathematical Reviews, Issue 2008 a)
"The author does an excellent job of covering the subject of the title in 120 pages and five chapters ... . the monograph would make a nice graduate course or seminar in applied mathematics." (John R. Cannon, SIAM Review, Vol. 52 (2), 2010)