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Topics in Operator Semigroups / by Shmuel Kantorovitz
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Progress in Mathematics ; 281 | SpringerLink BücherPublisher: Boston : Birkhäuser Boston, 2010Description: Online-Ressource (digital)ISBN:- 9780817649326
- 1282835572
- 9781282835573
- 515.724
- 512.27 515/.724
- 510
- QA329-329.9
- QA329
Contents:
Summary: 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.Summary: 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.PPN: PPN: 1649896522Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
186190_1_En_BookFrontmatter_OnlinePDF.pdf; 186190_1_En_1_Part_OnlinePDF.pdf; 186190_1_En_1_Chapter_OnlinePDF.pdf; 186190_1_En_2_Chapter_OnlinePDF.pdf; 186190_1_En_3_Chapter_OnlinePDF.pdf; 186190_1_En_4_Chapter_OnlinePDF.pdf; 186190_1_En_5_Chapter_OnlinePDF.pdf; 186190_1_En_6_Chapter_OnlinePDF.pdf; 186190_1_En_7_Chapter_OnlinePDF.pdf; 186190_1_En_2_Part_OnlinePDF.pdf; 186190_1_En_8_Chapter_OnlinePDF.pdf; 186190_1_En_9_Chapter_OnlinePDF.pdf; 186190_1_En_10_Chapter_OnlinePDF.pdf; 186190_1_En_3_Part_OnlinePDF.pdf; 186190_1_En_11_Chapter_OnlinePDF.pdf; 186190_1_En_12_Chapter_OnlinePDF.pdf
186190_1_En_BookBackmatter_OnlinePDF.pdf
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