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A Short Course on Operator Semigroups

2006-06-06 Mathematics
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Release : 2006-06-06
Genre : Mathematics
Kind : eBook
Book Rating : 419/5 ( reviews)

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Book Synopsis A Short Course on Operator Semigroups by : Klaus-Jochen Engel

Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel. This book was released on 2006-06-06. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Topics in Operator Semigroups

2009-10-22 Mathematics
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Release : 2009-10-22
Genre : Mathematics
Kind : eBook
Book Rating : 328/5 ( reviews)

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Book Synopsis Topics in Operator Semigroups by : Shmuel Kantorovitz

Download or read book Topics in Operator Semigroups written by Shmuel Kantorovitz. This book was released on 2009-10-22. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the interplay between the theory of operator semigroups and spectral theory. The basics on operator semigroups are concisely covered in this self-contained text. 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. Part II explores generalizations of spectral theory’s connection to operator semigroups.

Positive Operator Semigroups

2017-02-13 Mathematics
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Release : 2017-02-13
Genre : Mathematics
Kind : eBook
Book Rating : 136/5 ( reviews)

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Book Synopsis Positive Operator Semigroups by : András Bátkai

Download or read book Positive Operator Semigroups written by András Bátkai. This book was released on 2017-02-13. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

2015-12-10 Mathematics
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Release : 2015-12-10
Genre : Mathematics
Kind : eBook
Book Rating : 946/5 ( reviews)

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Book Synopsis Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics by : Wolfgang Arendt

Download or read book Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics written by Wolfgang Arendt. This book was released on 2015-12-10. Available in PDF, EPUB and Kindle. Book excerpt: 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, Schrödinger 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.

Semigroups of Linear Operators and Applications

2017-05-17 Mathematics
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Release : 2017-05-17
Genre : Mathematics
Kind : eBook
Book Rating : 57X/5 ( reviews)

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Book Synopsis Semigroups of Linear Operators and Applications by : Jerome A. Goldstein

Download or read book Semigroups of Linear Operators and Applications written by Jerome A. Goldstein. This book was released on 2017-05-17. Available in PDF, EPUB and Kindle. Book excerpt: Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.

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