(A, m)-SYMMETRIC COMMUTING TUPLES OF OPERATORS ON A HILBERT SPACE

被引：13

作者：

Cho, Muneo ^{[1
]}

Mahmoud, Sid Ahmed Ould Ahmed ^{[2
]}

机构：

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

[2] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka, Saudi Arabia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 03期

关键词：

Hilbert space; symmetric operator; symmetric commuting tuple of operators;

D O I：

10.7153/mia-2019-22-63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T = (T-1,...,T-d) and A be a commuting d-tuple of operators and a positive operator on a complex Hilbert space, respectively. We introduce an (A, m) -symmetric commuting tuple of operators and characterize the joint approximate point spectrum of (A, m) -symmetric commuting tuple T. Next we introduce an (A, m) -expansive symmetric commuting tuple of operators and show basic properties of (A, m) -expansive symmetric commuting tuple.

引用

页码：931 / 947

页数：17

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