C*-algebra Positive Element Invertibility Criteria in Terms of L1-norms Equivalence and L∞-norms Equivalence
- 作者: Novikov A.1
-
隶属关系:
- Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 40, 编号 5 (2019)
- 页面: 677-680
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204513
- DOI: https://doi.org/10.1134/S1995080219050159
- ID: 204513
如何引用文章
详细
We prove that the L1-norms associated with a positive elements aα is equivalent to the L1-norm associated with a positive element aβ if and only if it is equivalent to the natural norm of a C*-algebra, which means the invertibility of a in the case of unital C*-algebra. The same propositions are proved for L∞-norms associated with positive element aα and aβ.
作者简介
A. Novikov
Lobachevskii Institute of Mathematics and Mechanics
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