On generalized powers of operators

被引：1

作者：

Bachir, Ahmed ^{[1
]}

Mortad, Mohammed Hichem ^{[2
]}

Sayyaf, Nawal Ali ^{[3
]}

机构：

[1] King Khalid Univ, Coll Sci, Dept Math, Abha, Saudi Arabia

[2] Univ Oran 1, Dept Math, BP 1524, El Menouar 31000, Oran, Algeria

[3] Univ Bisha, Dept Math, Bisha, Saudi Arabia

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 04期

关键词：

Generalized powers of operators; Exponentials of operators; Logarithms of operators; Self-adjoint operators; Invertible operators; Hilbert space; SELF-ADJOINT OPERATORS; UNBOUNDED OPERATORS; COMMUTATIVITY; NORMALITY; PRODUCTS;

D O I：

10.1007/s12215-022-00823-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：2761 / 2769

页数：9

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