来自具有希尔伯特空间值的 l1(H)-空间的笛卡尔积的多个 2 求和算子

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-01-31 DOI:10.1080/03081087.2024.2306321

Dumitru Popa

引用次数: 0

摘要

我们利用Maurey-Rosenthal因式分解定理给出了在希尔伯特空间中取值的l1(H)空间的笛卡儿积上的算子成为多算子的必要条件和充分条件。

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Multiple 2-summing operators from a Cartezian product of l1(H)-spaces with values in a Hilbert space

We use the Maurey–Rosenthal factorization theorem to give the necessary and sufficient conditions that an operator on the Cartezian product of l1(H)-spaces with values in a Hilbert space to be mult...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.