Stabilities of Hilbert space contraction semigroups revisited

被引：3

作者：

Kubrusly, Carlos S. ^{[1
]}

Levan, Nhan ^{[2
]}

机构：

[1] Pontificia Univ Catolica Rio de Janeiro, BR-22453900 Rio De Janeiro, Brazil

[2] Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90024 USA

来源：

SEMIGROUP FORUM | 2009年 / 79卷 / 02期

关键词：

Hilbert space contraction semigroups; Exponential stability; Strong stability;

D O I：

10.1007/s00233-009-9134-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A necessary and sufficient condition for exponential stability of Hilbert space contraction semigroups is obtained in terms of an inequality involving the dissipative norm associated with the generator of the semigroup and with the Hilbert space norm.

引用

页码：341 / 348

页数：8

共 50 条

[31] The similarity problem for bounded analytic semigroups on Hilbert space
Le Merdy, C
SEMIGROUP FORUM, 1998, 56 (02) : 205 - 224
[32] GAUSSIAN OPERATOR SEMIGROUPS IN THE SPACE OF BOREL FUNCTIONS ON A SEPARABLE HILBERT SPACE
Galkin, O. E.
Galkina, S. Yu
Yastrebova, I. Yu
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2023, 20 (02): : 1320 - 1340
[33] WEAK LIMITS OF POWERS OF A CONTRACTION IN HILBERT SPACE
FOGUEL, SR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) : 659 - +
[34] CHARACTERIZATION OF HILBERT-SPACE MANIFOLDS REVISITED
BESTVINA, M
BOWERS, P
MOGILSKY, J
WALSH, J
TOPOLOGY AND ITS APPLICATIONS, 1986, 24 (1-3) : 53 - 69
[35] HILBERT SPACE HYPOCOERCIVITY FOR THE LANGEVIN DYNAMICS REVISITED
Grothaus, Martin
Stilgenbauer, Patrik
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2016, 22 (02): : 152 - 168
[36] CONVERGENCE OF DIFFERENCE APPROXIMATIONS TO NON-LINEAR CONTRACTION SEMIGROUPS IN HILBERT SPACES
NEVANLINNA, O
MATHEMATICS OF COMPUTATION, 1978, 32 (142) : 321 - 334
[37] Iterative Scheme for Non-expansive Semigroups in Hilbert Space
Liu, Xiufang
ICICTA: 2009 SECOND INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTATION TECHNOLOGY AND AUTOMATION, VOL IV, PROCEEDINGS, 2009, : 542 - 545
[38] Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space
vom Ende, Frederik
OPEN SYSTEMS & INFORMATION DYNAMICS, 2023, 30 (01):
[39] WEAK CONVERGENCE OF TRAJECTORIES OF NONEXPANSIVE SEMIGROUPS IN HILBERT-SPACE
SCHONEBERG, R
ISRAEL JOURNAL OF MATHEMATICS, 1978, 30 (1-2) : 130 - 132
[40] ONE-PARAMETER SEMIGROUPS OF ISOMETRIC OPERATORS IN HILBERT SPACE
COOPER, JLB
ANNALS OF MATHEMATICS, 1947, 48 (04) : 827 - 842

← 1 2 3 4 5 →