Linear Operators And Linear Systems
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Author |
: Jonathan R. Partington |
Publisher |
: Cambridge University Press |
Total Pages |
: 184 |
Release |
: 2004-03-15 |
ISBN-10 |
: 0521546192 |
ISBN-13 |
: 9780521546195 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Linear Operators and Linear Systems by : Jonathan R. Partington
Publisher Description
Author |
: M Thamban Nair |
Publisher |
: World Scientific |
Total Pages |
: 264 |
Release |
: 2009-05-05 |
ISBN-10 |
: 9789814469678 |
ISBN-13 |
: 981446967X |
Rating |
: 4/5 (78 Downloads) |
Synopsis Linear Operator Equations: Approximation And Regularization by : M Thamban Nair
Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be.This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.
Author |
: Jonathan Richard Partington |
Publisher |
: |
Total Pages |
: 166 |
Release |
: 2004 |
ISBN-10 |
: 1316086151 |
ISBN-13 |
: 9781316086155 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Linear Operators and Linear Systems by : Jonathan Richard Partington
This book presents an introduction to the common ground between operator theory and linear systems theory. Suitable for students of functional analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.
Author |
: Mark Aleksandrovich Krasnoselʹskiĭ |
Publisher |
: |
Total Pages |
: 380 |
Release |
: 1989 |
ISBN-10 |
: UOM:39015015707055 |
ISBN-13 |
: |
Rating |
: 4/5 (55 Downloads) |
Synopsis Positive Linear Systems by : Mark Aleksandrovich Krasnoselʹskiĭ
Author |
: Frédéric Bayart |
Publisher |
: Cambridge University Press |
Total Pages |
: 352 |
Release |
: 2009-06-04 |
ISBN-10 |
: 9780521514965 |
ISBN-13 |
: 0521514967 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Dynamics of Linear Operators by : Frédéric Bayart
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 |
: S. Banach |
Publisher |
: Elsevier |
Total Pages |
: 249 |
Release |
: 1987-03-01 |
ISBN-10 |
: 9780080887203 |
ISBN-13 |
: 0080887201 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Theory of Linear Operations by : S. Banach
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series.A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.
Author |
: Tosio Kato |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 610 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9783662126783 |
ISBN-13 |
: 3662126788 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Perturbation theory for linear operators by : Tosio Kato
Author |
: David Applebaum |
Publisher |
: Cambridge University Press |
Total Pages |
: 235 |
Release |
: 2019-08-15 |
ISBN-10 |
: 9781108483094 |
ISBN-13 |
: 1108483097 |
Rating |
: 4/5 (94 Downloads) |
Synopsis Semigroups of Linear Operators by : David Applebaum
Provides a graduate-level introduction to the theory of semigroups of operators.
Author |
: Amnon Pazy |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 289 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461255611 |
ISBN-13 |
: 1461255619 |
Rating |
: 4/5 (11 Downloads) |
Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy
Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.
Author |
: Joachim Weidmann |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 413 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461260271 |
ISBN-13 |
: 1461260272 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Linear Operators in Hilbert Spaces by : Joachim Weidmann
This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.