Factorization of cone \((\mathbb{B},p)\)-summing operators

Tasoev B. B.
Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 4.

Abstract:
For a complete Boolean algebra \(\mathbb{B}\) and a real \(p\geq1\) we introduce the class of cone \((\mathbb{B},p)\)-summing operators and prove a factorization result for this class.

Keywords: Banach lattice, \(\mathbb{B}\)-cyclic Banach space, cone \((\mathbb{B},p)\)-summing operators, factorization, \((\mathbb{B},p)\)-superadditive norm

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