Products of pairs of commuting d-tuples of Banach space operators satisfying an m-isometric property

被引：0
|
作者：
Duggal, B. P. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 01期
关键词：
Banach space; Left/right multiplication operator; m-isometric commuting d-tuples of operators; Products of operators;
D O I：
10.1007/s12215-023-00917-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If A (= ( A(1),..., A(d))), B, S and T are commuting d-tuples of Banach space operators in B(X)(d), multiplication A center dot S, similarly B center dot T, is defined by coordinatewise multiplication, S commutes with A, B and T, T commutes with B, the pair (A, B) is m-isometric and the pair (S-i, T-i) is n(i)-isometric for all 1 <= i <= d, then the pair (A center dot S, B center dot T) is (m + Sigma(d)(i=1) n(i) - d)-isometric.
引用
收藏
页码：291 / 298
页数：8
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