Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics) (Paperback)

Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics) By Seymour Goldberg Cover Image
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Description


This volume presents a systematic treatment of the theory of unbounded linear operators in normed linear spaces with applications to differential equations. Largely self-contained, it is suitable for advanced undergraduates and graduate students, and it only requires a familiarity with metric spaces and real variable theory.
After introducing the elementary theory of normed linear spaces--particularly Hilbert space, which is used throughout the book--the author develops the basic theory of unbounded linear operators with normed linear spaces assumed complete, employing operators assumed closed only when needed. Other topics include strictly singular operators; operators with closed range; perturbation theory, including some of the main theorems that are later applied to ordinary differential operators; and the Dirichlet operator, in which the author outlines the interplay between functional analysis and hard classical analysis in the study of elliptic partial differential equations.
In addition to its readable style, this book's appeal includes numerous examples and motivations for certain definitions and proofs. Moreover, it employs simple notation, eliminating the need to refer to a list of symbols.


Product Details
ISBN: 9780486453316
ISBN-10: 0486453316
Publisher: Dover Publications
Publication Date: August 4th, 2006
Pages: 208
Language: English
Series: Dover Books on Mathematics

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