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Viser: Unbounded Linear Operators - Theory and Applications
Unbounded Linear Operators
Theory and Applications
Seymour Goldberg
(2006)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Paperback: 208 sider
- Udgiver: Dover Publications, Incorporated (September 2006)
- ISBN: 9780486453316
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.