Some applications of simultaneous continuous functional calculus

被引:0
作者
Mazighi, M. [1 ]
El Kinani, A. [1 ]
机构
[1] Univ Mohammed V Rabat, ENS Rabat, BP 5118, Rabat 10105, Morocco
关键词
C*-algebra; Normal element; Continuous function; Simultaneous continuous functional calculus; Weighted algebra; Wiener theorem; Levy theorem;
D O I
10.1007/s12215-022-00752-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define and study a continuous functional calculus for a commutative family of normal elements of a C*-algebra. We obtain that this functional calculus is unique, continuous and satisfies the spectral mapping theorem. We also provide two applications. The first one concerns the existence of a particular orthonormal basis on a locally Hilbert space. The second for multi-dimensional continuous versions of N. Wiener and P. Le vy theorems.
引用
收藏
页码:1629 / 1638
页数:10
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