Spectral Properties of Strongly Bounded Operators

被引：0

作者：

Mel'nikov, E. V. ^{[1
]}

机构：

[1] Dostoevsky Omsk State Univ, Omsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 02期

关键词：

topological vector spaces; locally convex spaces; strongly bounded operators; resolvent; spectrum; spectral radius;

D O I：

10.1134/S003744662302009X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that strongly bounded operators in locally convex spaces and topological vector spaces under some additional conditions have the spectral properties similar to those of bounded operators in normed spaces. Such operator enjoys the Berling-Gelfand formula in a sequentially complete locally convex space.

引用

页码：347 / 355

页数：9

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