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Author: Nelson Dunford Publisher: John Wiley & Sons ISBN: 0471608475 Category : Mathematics Languages : en Pages : 1092
Book Description
This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.
Author: Nelson Dunford Publisher: John Wiley & Sons ISBN: 0471608483 Category : Mathematics Languages : en Pages : 870
Book Description
This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.
Author: E. Brian Davies Publisher: Cambridge University Press ISBN: 1139464337 Category : Mathematics Languages : en Pages : 436
Book Description
This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.
Author: Arch W. Naylor Publisher: Springer Science & Business Media ISBN: 9780387950013 Category : Mathematics Languages : en Pages : 648
Book Description
This book is a unique introduction to the theory of linear operators on Hilbert space. The authors' goal is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented. First published in 1971, Linear Operator in Engineering and Sciences has since proved to be a popular and very useful textbook.
Author: Nelson Dunford Publisher: Wiley ISBN: 9780470555613 Category : Mathematics Languages : en Pages : 2648
Book Description
This set features: Linear Operators, Part 1, General Theory (978-0-471-60848-6), Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space (978-0-471-60847-9), and Linear Operators, Part 3, Spectral Operators (978-0-471-60846-2), all by Neilson Dunford and Jacob T. Schwartz.