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Noncommutative Yosida–Hewitt theorem in noncommutative Calderón–Lozanovskiĭ spaces
Banach Journal of Mathematical Analysis ( IF 1.1 ) Pub Date : 2020-03-31 , DOI: 10.1007/s43037-020-00062-1
Yazhou Han , Jingjing Shao

Let $${\mathcal {M}}$$ be a diffuse von Neumann algebra equipped with a fixed faithful, normal, semi-finite trace and let $$\varphi$$ be an Orlicz function. In this paper, a new approach to the noncommutative Yosida–Hewitt decomposition in noncommutative Calderon–Lozanovskiĭ spaces $$E_\varphi ({\mathcal {M}})$$ is presented. It is a new result even in the commutative case. In the meanwhile, the related multiplication operators are discussed.

中文翻译:

非交换 Calderón-Lozanovskiĭ 空间中的非交换 Yosida-Hewitt 定理

令 $${\mathcal {M}}$$ 是一个带有固定忠实、正规、半有限迹的扩散冯诺依曼代数,并令 $$\varphi$$ 是一个 Orlicz 函数。在本文中,提出了一种在非交换 Calderon-Lozanovskiĭ 空间 $$E_\varphi ({\mathcal {M}})$$ 中进行非交换 Yosida-Hewitt 分解的新方法。即使在可交换的情况下,它也是一个新结果。同时讨论了相关的乘法运算符。
更新日期:2020-03-31
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