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Nagel R. — One-parameter semigroups of positive operators
Nagel R. — One-parameter semigroups of positive operators



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Название: One-parameter semigroups of positive operators

Автор: Nagel R.

Аннотация:

The book is organized as follows. We concentrate our attention on three subjects of semigroup theory: characterization, spectral theory and asymptotic behavior. By characterization , we understand the problem of describing special properties of a semigroup, such as positivity, through the generator. By spectral theory we mean the investigation of the spectrum of a generator. Asymptotic behavior refers to the orbits of the initial values under a given semigroup and phenomena such as stability.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 460

Добавлена в каталог: 08.12.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Slowly growing resolvent      301
Sobolev Norm      18
Sobolev semigroup      18
Sobolev space      18
Solenoidal Abelian group      391
Solid subset      236
Solution of a Cauchy problem      4 27
Spectral bound      60 101 105 130 163 168 204 225 292 316 334 361 379 400
Spectral decomposition      68 325 351
Spectral inclusion theorem      84
Spectral mapping theorem      60 67 82 106
Spectral mapping theorem for the resolvent      67
Spectral projection      69 79
Spectral radius      60
Spectral theorem      60 82
Spectrum      60
Stability      98 227 337 361 402
Standard example      7 9 10 11 12 42 100 124 280 416
State space      369 400
Stationary point      156
Stochastic continuity      213
Strict half-norm      51 127
Strict positivity      118 119 120 238 242 310 316
Strictly dispersive      249
Strictly dispersive operator      249
Strictly dissipative      48
Strictly dissipative operator      48
Strictly dominant spectral value      177 210 217 318
Strictly p-dissipative operator      48
Strictly positive      118 119 120 238 242 261
Strictly positive element      261
Strictly positive functional      238 261
Strictly positive operator      242
Strictly positive subset      261
Strong Feller property      213
Strong solution of a Cauchy problem      27 99 112 219 356
Strongly continuous semigroup      2
Strongly ergodic semigroup      406 408 424
Subdifferential      48 128
Subeigenvector      261
Subinvariant subset      380
Sublattice      236
Sublinear function      47
Subspace semigroup      14 74
Surjective semiflow      193
System of differential equations      365
Tensor product of Banach spaces      21
Tensor product of operators      21
Tensor product of semigroups      21 88
Tensor product semigroup      21 88
Transformation Fourier      12
Transformation Laplace      101 107
Translation property      220 358
Translation semigroup      9 11 15 18 41 66 205
Transport equation      309 320
Type of a semigroup      2
Ultrapower      315 377 394 420
Uniform exponential stability      99 205 402
Uniform stability      999 339 402
Uniformly continuous semigroup      2 7 54 129 247 255 288 376
Uniformly ergodic semigroup      391 416 419 424
Unimodular function      313
Unitary      390
Unitary group      13
Vector lattice      235
Vector sublattice      236
W* Irreducible semigroup      388
W*-algebra      369
W*-dynamical system      414
Weak order unit      238
Weak spectral mapping theorem      65 83 89
Weak stability      111 205 402
Weak uniform stability      111
Weak* continuous semigroup      16 370 403
Weak* generator      16
Weak*-irreducible semigroup      388 414 424
Weakly compact operator      181 211
Weakly compact operator semigroup      181 211
Weakly continuous semigroup      2
Weakly sequentially compact      242 322
Well-posed Cauchy problem      26
Well-posedness      26
Zero-Two law (0—2 law)      347
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