Linear operators and conjugations on a Banach space

被引：3

作者：

Motoyoshi, Haruna ^{[1
]}

机构：

[1] Kanagawa Univ, Dept Math, Hiratsuka, Kanagawa 2591293, Japan

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2019年 / 85卷 / 1-2期

关键词：

Banach space; linear operator; conjugation; spectrum; COMPLEX SYMMETRIC-OPERATORS;

D O I：

10.14232/actasm-018-801-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a conjugation on a Banach space X and show properties of operators concerning conjugation C and show spectral properties of such operators. Next we show spectral properties of an (m, C)-symmetry (isometry) operator T on a complex Banach space X. We prove that, for a C-doubly commuting pair (T, S), if T is an (m, C)-symmetry (isometry) and S is an (n, C)-symmetry (isometry), then T + S and TS are (m + n - 1, C)-symmetries (isometries).

引用

页码：325 / 336

页数：12

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