|
|
|
|
| LEADER |
03277nam a22004815i 4500 |
| 001 |
8442 |
| 003 |
DE-He213 |
| 005 |
20130725193438.0 |
| 007 |
cr nn 008mamaa |
| 008 |
100301s2010 xxu| s |||| 0|eng d |
| 020 |
# |
# |
|a 9780817649326
|9 978-0-8176-4932-6
|
| 024 |
7 |
# |
|a 10.1007/978-0-8176-4932-6
|2 doi
|
| 050 |
# |
4 |
|a QA329-329.9
|
| 072 |
# |
7 |
|a PBKF
|2 bicssc
|
| 072 |
# |
7 |
|a MAT037000
|2 bisacsh
|
| 082 |
0 |
4 |
|a 515.724
|2 23
|
| 100 |
1 |
# |
|a Kantorovitz, Shmuel.
|e author.
|
| 245 |
1 |
0 |
|a Topics in Operator Semigroups
|c by Shmuel Kantorovitz.
|h [electronic resource] /
|
| 264 |
# |
1 |
|a Boston :
|b Birkhũser Boston,
|c 2010.
|
| 300 |
# |
# |
|b online resource.
|
| 336 |
# |
# |
|a text
|b txt
|2 rdacontent
|
| 337 |
# |
# |
|a computer
|b c
|2 rdamedia
|
| 338 |
# |
# |
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
# |
# |
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
# |
|a Progress in Mathematics ;
|v 281
|
| 505 |
0 |
# |
|a Introduction -- Part I. General Theory. Basic theory. The semi-simplicity space. Analyticity. The semigroup as a function of its generator. Large parameter. Boundary values -- Part II. Generalizations. Pre-semigroups. The semi-simplicity space. Families of unbounded symmetric operators. Dependence on parameters -- Notes and References. Bibliography.
|
| 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<U+0013>Yosida and Lumer<U+0013>Phillips characterizations of semigroup generators * The Trotter<U+0013>Kato approximation theorem * Kato<U+0019>s unified treatment of the exponential formula and the Trotter product formula * The Hille<U+0013>Phillips perturbation theorem, and Stone<U+0019>s representation of unitary semigroups * Generalizations of spectral theory<U+0019>s connection to operator semigroups * A natural generalization of Stone<U+0019>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 |
# |
0 |
|a Mathematics.
|
| 650 |
# |
0 |
|a Algebra.
|
| 650 |
# |
0 |
|a Group theory.
|
| 650 |
# |
0 |
|a Operator theory.
|
| 650 |
1 |
4 |
|a Mathematics.
|
| 650 |
2 |
4 |
|a Operator Theory.
|
| 650 |
2 |
4 |
|a Group Theory and Generalizations.
|
| 650 |
2 |
4 |
|a Algebra.
|
| 710 |
2 |
# |
|a SpringerLink (Online service)
|
| 773 |
0 |
# |
|t Springer eBooks
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9780817649319
|
| 830 |
# |
0 |
|a Progress in Mathematics ;
|v 281
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4932-6
|
| 912 |
# |
# |
|a ZDB-2-SMA
|
| 950 |
# |
# |
|a Mathematics and Statistics (Springer-11649)
|