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.
@article{bwmeta1.element.doi-10_1515_conop-2016-0001,
author = {Ibrahim Almasri},
title = {Absolutely Summing Terraced Matrices},
journal = {Concrete Operators},
volume = {3},
year = {2016},
pages = {1-7},
zbl = {1338.47028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_conop-2016-0001}
}
Ibrahim Almasri. Absolutely Summing Terraced Matrices. Concrete Operators, Tome 3 (2016) pp. 1-7. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_conop-2016-0001/
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