Displaying similar documents to “Generalized Hausdorff Matrices as Bounded Operators on lP.”

Absolutely Summing Terraced Matrices

Ibrahim Almasri (2016)

Concrete Operators

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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.

Lower bounds for matrices on block weighted sequence spaces. I

R. Lashkaripour, D. Foroutannia (2009)

Czechoslovak Mathematical Journal

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In this paper we consider some matrix operators on block weighted sequence spaces l p ( w , F ) . The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on l p ( w , F ) . This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.