Unbounded linear operators : theory and application
Material type: TextPublication details: Mineola, N.Y. Dover Publications 2006Edition: Dover edDescription: viii, 199 p. illISBN: 0486453316 (pbk.); 9780486453316 (pbk.)Subject(s): Linear operatorsDDC classification: 515.7246 Summary: 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.Item type | Current library | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
BK | Stack | 515.7246 GOL/U (Browse shelf (Opens below)) | Available | 56724 |
Browsing Kannur University Central Library shelves, Shelving location: Stack Close shelf browser (Hides shelf browser)
No cover image available No cover image available | ||||||||
515.724 CHA/M Modern approaches to the invariant-subspace problem / | 515.724 ISA/M Modern approaches to the invariant-subspace problem | 515.724 OPE Operator theory, analysis and mathematical physics / | 515.7246 GOL/U Unbounded linear operators : theory and application | 515.7248 NAN/N Nonlinear analysis | 515.73 EVG/A Analytic functions | 515.73 GAR/I Introduction to model spaces and their operators |
Originally published: New York : McGraw-Hill, [c1966]
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.
There are no comments on this title.