| Description |
1 online resource (xiii, 266 pages) |
| Series |
Progress in mathematics ; v. 281 |
|
Progress in mathematics (Boston, Mass.) ; v. 281.
|
| Contents |
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 |
| 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 |
| Bibliography |
Includes bibliographical references (pages 253-261) and index |
| Notes |
English |
|
Print version record |
| In |
Springer e-books |
| Subject |
Semigroups of operators.
|
|
Spectral theory (Mathematics)
|
|
Algebra.
|
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algebra.
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MATHEMATICS -- Functional Analysis.
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Álgebra
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Semigrupos de operadores
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Semigroups of operators
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Spectral theory (Mathematics)
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Operatorhalbgruppe
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| Form |
Electronic book
|
| ISBN |
9780817649326 |
|
0817649328 |
|
