共查询到20条相似文献，搜索用时 0 毫秒
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Mohamed Barraa 《Linear and Multilinear Algebra》2013,61(11):2311-2317
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Geraldo Botelho 《Linear and Multilinear Algebra》2017,65(6):1232-1246
The usual techniques to generate ideals of multilinear operators between Banach spaces fail in generating hyper-ideals in general. In this paper, we fill this gap by developing two techniques to generate hyper-ideals of multilinear operators. The techniques we develop generate new classes of multilinear operators and show that some important well-studied classes are Banach or p-Banach hyper-ideals. 相似文献
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Xiaoqiang Lei 《Linear and Multilinear Algebra》2018,66(5):942-960
In this paper, we mainly focus on new inclusion sets for eigenvalues of a tensor. First, we propose new inclusion sets for eigenvalues of a tensor, which are sharper than some existing inclusion sets, and obtain the law of distribution of the number of eigenvalues for a tensor. Second, two new classes of tensors are introduced. Third, some bounds on the spectral radii for nonnegative tensors are given. Fourth, some checkable sufficient conditions for the positive definiteness (positive semidefiniteness) of some classes of even-order real symmetric tensors are obtained. 相似文献
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