Topics in Operator Semigroups

The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, a...

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Bibliographische Detailangaben
1. Verfasser: Kantorovitz, Shmuel, 1935-
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Boston, MA : Birkhäuser Boston [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2010.
Schriftenreihe:Progress in Mathematics 281
Schlagworte:
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Edition sous un autre format:• Topics in operator semigroups, Shmuel Kantorovitz, 2010, Boston, Birkhäuser, 1 vol. (XIII-266 p.), Progress in mathematics, 978-0-8176-4931-9
• Topics in Operator Semigroups, Texte imprimé, 9780817649357
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505 1 |a General Theory Basic Theory The Semi-Simplicity Space for Groups Analyticity The Semigroup as a Function of its Generator Large Parameter Boundary Values Pre-Semigroups Integral Representations The Semi-Simplicity Space The Laplace#x2013;Stieltjes Space Families of Unbounded Symmetric Operators A Taste of Applications Analytic Families of Evolution Systems Similarity 
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520 |a The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, and mathematical physics. This self-contained monograph focuses primarily on the theoretical connection between the theory of operator semigroups and spectral theory. Divided into three parts with a total of twelve distinct chapters, this book gives an in-depth account of the subject with numerous examples, detailed proofs, and a brief look at a few applications. Topics include: * 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 * Generalizations of spectral theory s connection to operator semigroups * A natural generalization of Stone s spectral integral representation to a Banach space setting With a collection of miscellaneous exercises at the end of the book and an introductory chapter examining the basic theory involved, this monograph is suitable for second-year graduate students interested in operator semigroups 
650 |a Semigroupes d'opérateurs 
650 |a Théorie spectrale (mathématiques) 
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