Existence and uniqueness for C0-semigroups on the dual of a Banach space

被引：0

作者：

Lemle, Ludovic Dan ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Engn Fac Hunedoara, Hunedoara 331128, Romania

来源：

CARPATHIAN JOURNAL OF MATHEMATICS | 2010年 / 26卷 / 01期

关键词：

C-0-semigroup; C-0-semigroup adjoint; Hille-Yosida theorem; L-infinity-uniqueness; Schrodinger operators; WEAKLY INTEGRABLE SEMIGROUPS; LOCALLY CONVEX-SPACES; HILLE-YOSIDA THEOREM; SCHRODINGER-OPERATORS; DIRICHLET OPERATORS; L-1-UNIQUENESS; EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main results of this paper are a satisfactory variant of Hille-Yosida theorem and a uniqueness theorem for a C-0-semigroup on the dual of a Banach space. As application a simplified Hille-Yosida theorem for positive C-0-semigroups on L-infinity is given. Moreover, the uniqueness of Schrodinger's operator in L-infinity is presented.

引用

页码：67 / 76

页数：10

共 50 条

[21] Disjointness preserving C0-semigroups and local operators on ordered Banach spaces
Kalauch, Anke
van Gaans, Onno
Zhang, Feng
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2018, 29 (02): : 535 - 547
[22] The Specification Property for C0-Semigroups
Bartoll, S.
Martinez-Gimenez, F.
Peris, A.
Rodenas, F.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (03)
[23] On individual stability of C0-semigroups
Van Neerven, JMAM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (08) : 2325 - 2333
[24] GENERATORS OF POSITIVE C0-SEMIGROUPS
MIYAJIMA, S
OKAZAWA, N
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1986, 125 (01) : 161 - 175
[25] Polynomially bounded C0-semigroups
Eisner, T
[J]. SEMIGROUP FORUM, 2005, 70 (01) : 118 - 126
[26] Supercyclic composition C0-semigroups
Kumar, Abhay
[J]. JOURNAL OF ANALYSIS, 2023, 31 (02): : 1175 - 1190
[27] Supercyclicity criteria for C0-semigroups
Kumar, Abhay
Srivastava, Sachi
[J]. ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1646 - 1666
[28] Polynomially Bounded C0-Semigroups
Tatjana Eisner
[J]. Semigroup Forum, 2005, 70 : 118 - 126
[29] On the infinite product of C0-semigroups
Arendt, W
Driouich, A
El-Mennaoui, O
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1998, 160 (02) : 524 - 542
[30] Norm continuity of c0-semigroups
Goersmeyer, V
Weis, L
[J]. STUDIA MATHEMATICA, 1999, 134 (02) : 169 - 178

← 1 2 3 4 5 →