The level sets of the resolvent norm and convexity properties of Banach spaces

被引：6

作者：

Shargorodsky, Eugene ^{[1
]}

Shkarin, Stanislav ^{[2
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland

来源：

ARCHIV DER MATHEMATIK | 2009年 / 93卷 / 01期

关键词：

Norm of the resolvent; Pseudospectrum; Strictly convex Banach spaces; ANALYTIC-FUNCTIONS;

D O I：

10.1007/s00013-009-0001-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a bounded linear operator on a separable, reflexive and strictly convex Banach space with the resolvent norm that is constant in a neighbourhood of zero.

引用

页码：59 / 66

页数：8

共 12 条

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