Автор: O. Bratteli; P.E.T. J?rgensen Название: Positive Semigroups of Operators, and Applications ISBN: 9400964862 ISBN-13(EAN): 9789400964860 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This means that semigroup theory may be applied directly to the study of the equation I`!.f = h on M. This was also true, although only implicitly, for the early work of Hille and Yosida on the Fokker-Planck equation, i.e., Equation (4) with c = O.
Автор: Kantorovitz, Shmuel Название: Topics in operator semigroups ISBN: 081764931X ISBN-13(EAN): 9780817649319 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Part I deals with the Hille--Yosida and Lumer--Phillips characterizations of semigroup generators, the Trotter--Kato approximation theorem, Kato`s unified treatment of the exponential formula and the Trotter product formula, the Hille--Phillips perturbation theorem, and Stone`s representation of unitary semigroups.
Автор: Jacek Banasiak; Luisa Arlotti Название: Perturbations of Positive Semigroups with Applications ISBN: 1849969922 ISBN-13(EAN): 9781849969925 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques. The first part of the book, which should be regarded as an extended reference section, presents a survey of the results from functional analysis, the theory of positive operators and the theory of semigroups that are needed for the second, applied part of the book; worked examples are provided to help absorb the theoretical material. The second part then deals with the application of the developed theory to a variety of problems ranging from the classical birth-and-death type problems of population dynamics, through fragmentation models in both conservative and mass loss regimes, to kinetic models.
Features of particular interest include:
a survey of perturbation results for semigroups, beginning with the classical results and ending with more recent developments such as the Miyadera-Voigt perturbation theorem, Desch's results and an extension of the Kato theorem to Kantorovic-Banach spaces;
comprehensive analysis of the relations between the generator of a semigroup and the conservativeness of this semigroup, providing applicable techniques for characterization of the generator;
a full description of the dynamics of birth-and-death problems;
an analytical explanation of shattering and dust formation and of the existence of multiple solutions for fragmentation equations;
a detailed analysis of the linear Boltzmann equation with external field with both classical and inelastic scattering kernels, supplemented by an exhaustive treatment of boundary value problems for a streaming operator;
applications to the asymptotic analysis of kinetic equations.
The only prerequisites are a basic knowledge of functional analysis and measure theory. This is an essential one-stop reference for graduate and postgraduate students and researchers in applied analysis and mathematical physics who are interested in the application of functional analytic techniques to concrete problems arising in physics, biology and engineering.
Автор: O. Bratteli; P.E.T. J?rgensen Название: Positive Semigroups of Operators, and Applications ISBN: 9027718393 ISBN-13(EAN): 9789027718396 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This means that semigroup theory may be applied directly to the study of the equation I`!.f = h on M. This was also true, although only implicitly, for the early work of Hille and Yosida on the Fokker-Planck equation, i.e., Equation (4) with c = O.
Автор: Bobrowski Название: Convergence of One-Parameter Operator Semigroups ISBN: 1107137438 ISBN-13(EAN): 9781107137431 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by a leading expert in the field, this book presents the classical theory of convergence of semigroups and then uses real examples to show how it can be applied to models of mathematical biology as well as other branches of mathematics.
Автор: Wolfgang Arendt; Rainer Nagel; Annette Grabosch; G Название: One-parameter Semigroups of Positive Operators ISBN: 3540164545 ISBN-13(EAN): 9783540164548 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: P G Romeo; John. C Meakin; A R Rajan Название: Semigroups, Algebras and Operator Theory ISBN: 8132224876 ISBN-13(EAN): 9788132224877 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory.
Автор: Alan Paterson Название: Groupoids, Inverse Semigroups, and their Operator Algebras ISBN: 1461272769 ISBN-13(EAN): 9781461272762 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter.
After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text.
The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.
Автор: Tanja Eisner Название: Stability of Operators and Operator Semigroups ISBN: 3034803117 ISBN-13(EAN): 9783034803113 Издательство: Springer Рейтинг: Цена: 16070.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book systematically studies the asymptotic behavior, in particular "stability" in some sense, for discrete and continuous linear dynamical systems on Banach spaces. Of special concern is convergence to an equilibrium regarding various topologies.
Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg Название: Positive Operators and Semigroups on Banach Lattices ISBN: 0792319648 ISBN-13(EAN): 9780792319641 Издательство: Springer Рейтинг: Цена: 20956.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation and provide an overview of the present state of development in various areas of the theory of positive operators and their special properties.
This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrodinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor.
The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event.
They will be a valuable and inspiring source of information for graduate students and established researchers.
Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg Название: Positive Operators and Semigroups on Banach Lattices ISBN: 9048142059 ISBN-13(EAN): 9789048142057 Издательство: Springer Рейтинг: Цена: 20956.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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