On generalized powers of operators

被引:0
|
作者
Ahmed Bachir
Mohammed Hichem Mortad
Nawal Ali Sayyaf
机构
[1] King Khalid University,Department of Mathematics, College of Science
[2] University of Oran 1,Department of Mathematics
[3] University of Bisha,Department of Mathematics
来源
Rendiconti del Circolo Matematico di Palermo Series 2 | 2023年 / 72卷
关键词
Generalized powers of operators; Exponentials of operators; Logarithms of operators; Self-adjoint operators; Invertible operators; Hilbert space; Primary 47B15; Secondary 47A60;
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学科分类号
摘要
In this note, we introduce generalized powers of linear operators. More precisely, operators are not raised to numbers but to other operators. We discuss several properties as regards this notion.
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页码:2761 / 2769
页数:8
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