RUS  ENG
Full version
JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive
Vladikavkaz. Mat. Zh., 2015 Volume 17, Number 4, Pages 75–79 (Mi vmj564)
Factorization of cone $(\mathbb B,p)$-summing operators

B. B. Tasoev

Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia

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.

Key words: Banach lattice, $\mathbb B$-cyclic Banach space, cone $(\mathbb B,p)$-summing operators, factorization, $(\mathbb B,p)$-superadditive norm.

UDC: 517.98

Received: 30.11.2015


© Steklov Math. Inst. of RAS, 2024