Notes On The Dynamics Of Linear Operators
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Author | : Frédéric Bayart |
Publisher | : Cambridge University Press |
Total Pages | : 352 |
Release | : 2009-06-04 |
Genre | : Mathematics |
ISBN | : 0521514967 |
The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.
Author | : Joel H.. Shapiro |
Publisher | : |
Total Pages | : 61 |
Release | : 2001 |
Genre | : |
ISBN | : |
Author | : Etienne Matheron |
Publisher | : |
Total Pages | : |
Release | : 2005 |
Genre | : |
ISBN | : |
Author | : David Applebaum |
Publisher | : Cambridge University Press |
Total Pages | : 235 |
Release | : 2019-08-15 |
Genre | : Mathematics |
ISBN | : 1108483097 |
Provides a graduate-level introduction to the theory of semigroups of operators.
Author | : Martina Maiuriello |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
Genre | : Mathematics |
ISBN | : |
Author | : Israel Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 428 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879806 |
A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As a textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.
Author | : Jonathan R. Partington |
Publisher | : Cambridge University Press |
Total Pages | : 184 |
Release | : 2004-03-15 |
Genre | : Mathematics |
ISBN | : 9780521546195 |
Author | : David Applebaum |
Publisher | : Cambridge University Press |
Total Pages | : 235 |
Release | : 2019-08-15 |
Genre | : Mathematics |
ISBN | : 1108623522 |
The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller–Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann–Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.
Author | : H. Ted Davis |
Publisher | : Elsevier |
Total Pages | : 561 |
Release | : 2000-07-12 |
Genre | : Mathematics |
ISBN | : 0080510248 |
Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with Mathematica solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics. Contains numerous Mathematica examples complete with full code and solutions Provides complete numerical algorithms for solving linear and nonlinear problems Spans elementary notions to the functional theory of linear integral and differential equations Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences
Author | : Benavides Tomas Dominguez |
Publisher | : World Scientific |
Total Pages | : 209 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812818456 |
This volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of the present-day research in different areas of mathematical analysis (complex variable, harmonic analysis, real analysis and functional analysis) that holds great promise for current and future developments. These review articles are highly useful for those who want to learn about these topics, as many results scattered in the literature are reflected through the many separate papers featured herein.