论文标题

HADAMARD几何均值的关节和广义光谱和必需光谱半径的不平等和平均值的限制性元件均值集

Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators

论文作者

Bogdanović, Katarina, Peperko, Aljoša

论文摘要

我们证明了Hadamard(Schur)几何形状的广义频谱半径(及其基本版本)的新不平等和平等性的新不平等和平等,在Banach函数空间上有界核算子的有限集集。如果是在Banach序列上定义运算符的非负矩阵,我们获得了其他结果。我们的结果扩展了几位作者的结果,这些作者最近出现了。

We prove new inequalities and equalities for the generalized and the joint spectral radius (and their essential versions) of Hadamard (Schur) geometric means of bounded sets of positive kernel operators on Banach function spaces. In the case of nonnegative matrices that define operators on Banach sequences we obtain additional results. Our results extend results of several authors that appeared relatively recently.

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