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Free-Homomorphic Relations on Banach $$*$$ ∗ -Probability Spaces Generated by Semicircular Elements Induced by Natural Numbers
Complex Analysis and Operator Theory ( IF 0.8 ) Pub Date : 2021-04-08 , DOI: 10.1007/s11785-021-01103-9 Ilwoo Cho
中文翻译:
Banach上的自由同构关系$$ * $$ **-自然数诱导的半圆元素生成的概率空间
更新日期:2021-04-08
Complex Analysis and Operator Theory ( IF 0.8 ) Pub Date : 2021-04-08 , DOI: 10.1007/s11785-021-01103-9 Ilwoo Cho
In this paper, we study how an arbitrary natural number, greater than 1, induces a finite free semicircular family, and the corresponding Banach \(*\) -probability space. And then certain \(*\)-homomorphisms acting on such Banach \(*\)-probability spaces are considered. In particular, we are interested in cases where such \(*\)-homomorphisms preserve free-distributional data among them.
中文翻译:
Banach上的自由同构关系$$ * $$ **-自然数诱导的半圆元素生成的概率空间
在本文中,我们研究了大于1的任意自然数如何诱导有限的自由半圆族以及相应的Banach (*)概率空间。然后考虑作用于这种Banach \(* \)-概率空间的某些\(* \)-同态。特别是,我们对这样的\(* \)-同态保留了其中的自由分布数据的情况感兴趣。