Geodesic
Factorization of cone $(\mathbb B,p)$-summing operators
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 75-79 
B. B. Tasoev. Factorization of cone $(\mathbb B,p)$-summing operators. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 75-79. http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a6/
@article{VMJ_2015_17_4_a6,
     author = {B. B. Tasoev},
     title = {Factorization of cone $(\mathbb B,p)$-summing operators},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {75--79},
     year = {2015},
     volume = {17},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a6/}
}
TY  - JOUR
AU  - B. B. Tasoev
TI  - Factorization of cone $(\mathbb B,p)$-summing operators
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2015
SP  - 75
EP  - 79
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a6/
LA  - ru
ID  - VMJ_2015_17_4_a6
ER  - 
%0 Journal Article
%A B. B. Tasoev
%T Factorization of cone $(\mathbb B,p)$-summing operators
%J Vladikavkazskij matematičeskij žurnal
%D 2015
%P 75-79
%V 17
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a6/
%G ru
%F VMJ_2015_17_4_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Kusraev A. G., Boolean Valued Analysis Approach to Injective Banach Lattices, Preprint No 1, SMI VSC RAS, Vladikavkaz, 2011, 28 pp.

[2] Kusraev A. G., Mazhoriruemye operatory, Nauka, M., 2003, 619 pp. | MR

[3] Meyer-Nieberg P., Banach Lattices, Springer, Berlin etc., 1991, 395 pp. | MR | Zbl

[4] Kusraev A. G., Kutateladze S. S., Boolean Valued Analysis: Selected Topics, Trends in Science: The South of Russia. Math. Monogr., 6, SMI VSC RAS, Vladikavkaz, 2014, iv+400 pp.

[5] Kusraev A. G., Boolean Valued Analysis Approach to Injective Banach Lattices. II, Preprint No 1, SMI VSC RAS, Vladikavkaz, 2012, 16 pp.