Holomorphic families of forms, operators and C0-semigroups

被引：0

作者：

Vogt, Hendrik ^{[1
]}

Voigt, Juergen ^{[2
]}

机构：

[1] Univ Bremen, Fachbereich Math, Postfach 330 440, D-28359 Bremen, Germany

[2] Tech Univ Dresden, Fachrichtung Math, D-01062 Dresden, Germany

来源：

MONATSHEFTE FUR MATHEMATIK | 2018年 / 187卷 / 02期

关键词：

Sectorial form; Operator function; Resolvent holomorphic; C-0-semigroup;

D O I：

10.1007/s00605-017-1132-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If z az is a holomorphic function with values in the sectorial forms in a Hilbert space, then the associated operator valued function z . Az is resolvent holomorphic. We give a proof of this result of Kato, on the basis of the Lax-Milgram lemma. We also show that the C0-semigroups Tz generated by -Az depend holomorphically on z.

引用

页码：375 / 380

页数：6