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Unbounded Linear Operators: Theory and Applications

Unbounded Linear Operators: Theory and Applications

By: Seymour Goldberg

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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.

Reprint of the 1985 Dover edition.
AvailabilityUsually ships in 24 to 48 hours
ISBN 100486453316
ISBN 139780486453316
Author/EditorSeymour Goldberg
Page Count208
Dimensions5 3/8 x 8 1/2

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