Ideal of multilinear \({\mathcal {F}}_{\vec {p},\vec {q}}\,\)-factorable operators and applications

IF 0.8 Q2 MATHEMATICS
Dahmane Achour, Orlando Galdames-Bravo, Rachid Yahi
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引用次数: 0

Abstract

In the present paper we introduce a method for generating ideals of linear and multilinear operators from what we call generalized left and right operator ideals, that we discuss with p-th power factorable, p-convex and q-concave operators. Then we combine this method with the Factorization Ideal method, that construct multilinear operators, in order to introduce the ideal of multilinear \({\mathcal {F}}_{\vec {p},\vec {q}}\)-factorable operators as an example of an ideal generated by means of our method. Finally, we investigate its relation with multilinear summing operators.

多线性 $${mathcal {F}}_{\vec {p},\vec {q}}},$$可因式算子的理想及其应用
在本文中,我们介绍了一种从所谓的广义左、右算子理想中生成线性和多线性算子理想的方法,我们讨论的是 p 次幂可因式、p 凸和 q 凹算子。然后,我们把这种方法与构造多线性算子的因式分解理想方法结合起来,以引入多线性 \({\mathcal {F}}_{\vec {p},\vec {q}}\)-可因式算子的理想,作为用我们的方法生成的理想的一个例子。最后,我们研究了它与多线性相加算子的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.60
自引率
0.00%
发文量
55
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