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|a 9780817649326
|9 978-0-8176-4932-6
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|a 10.1007/978-0-8176-4932-6
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|a MAT037000
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|a 515.724
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|a Kantorovitz, Shmuel.
|e author.
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|a Topics in Operator Semigroups
|h [electronic resource] /
|c by Shmuel Kantorovitz.
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|a Boston :
|b Birkhäuser Boston,
|c 2010.
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|a XIV, 266 p.
|b online resource.
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|a text
|b txt
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|a text file
|b PDF
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|a Progress in Mathematics ;
|v 281
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|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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|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.
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|a Mathematics.
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|a Algebra.
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|a Group theory.
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|a Operator theory.
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|a Mathematics.
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|a Operator Theory.
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|a Group Theory and Generalizations.
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|a Algebra.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9780817649319
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|a Progress in Mathematics ;
|v 281
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|u http://dx.doi.org/10.1007/978-0-8176-4932-6
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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