绝对求和阶梯形矩阵

IF 0.3 Q4 MATHEMATICS
Ibrahim Almasri
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引用次数: 2

摘要

设α > 0。这里的Cα是指当1≤k≤n,当k > n定义的阶梯矩阵。本文证明了lp上的诱导算子是p和的一个充分必要条件是α > 1;1≤p <∞。当考虑更一般的阶梯形矩阵B时,当1≤k≤n时bnk = βn,当k > n时定义为0,则其充要条件是在1/p + 1/q≤1的区域内。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Absolutely Summing Terraced Matrices
Abstract Let α > 0. By Cα we mean the terraced matrix defined by if 1 ≤ k ≤ n and 0 if k > n. In this paper, we show that a necessary and sufficient condition for the induced operator on lp, to be p-summing, is α > 1; 1 ≤ p < ∞. When the more general terraced matrix B, defined by bnk = βn if 1 ≤ k ≤ n and 0 if k > n, is considered, the necessary and sufficient condition turns out to be in the region 1/p + 1/q ≤ 1.
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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