KREIN SPACE UNITARY DILATIONS OF HILBERT SPACE HOLOMORPHIC SEMIGROUPS

被引：0

作者：

Marcantognini, Stefania A. M. ^{[1
,2
,3
]}

机构：

[1] Inst Venezolano Invest Cient, Dept Math, Km 11 Carretera Panamer, Altos De Pipe, Edo Miranda, Venezuela

[2] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat Alberto P Calderon, Saavedra 15,Piso 3,C1083, Caba, Argentina

[3] Univ Nacl Gen Sarmiento, Inst Ciencias, Juan Maria Gutierrez 1150,B1613, Los Polvorines, Buenos Aires, Argentina

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2020年 / 61卷 / 01期

关键词：

Hilbert space holomorphic semigroups; Krein space unitary groups; sectorial operators; Naimark's representation theorem;

D O I：

10.33044/revuma.v61n1a09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The infinitesimal generator A of a strongly continuous semigroup on a Hilbert space is assumed to satisfy that B-beta := A-beta is a sectorial operator of angle less than pi/2 for some beta >= 0. If B-beta is dissipative in some equivalent scalar product then the Naimark-Arocena representation theorem is applied to obtain a Krein space unitary dilation of the semigroup.

引用

页码：145 / 160

页数：16

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