Linear operators and conjugations on a Banach space

被引：0
|
作者：
Haruna Motoyoshi
机构：
[1] Kanagawa University,Department of Mathematics
来源：
Acta Scientiarum Mathematicarum | 2019年 / 85卷
关键词：
47A05; 47B25; 47B99; Banach space; linear operator; conjugation; spectrum;
D O I：
暂无
中图分类号：
学科分类号：
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).
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页码：325 / 336
页数：11
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