@article{VMJ_2013_15_3_a5,
author = {Z. A. Kusraeva},
title = {Algebraic band preserving operators},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {54--57},
year = {2013},
volume = {15},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a5/}
}
Z. A. Kusraeva. Algebraic band preserving operators. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 54-57. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a5/
[1] Abramovich Yu. A., Veksler A. I., Koldunov A. V., “Operatory, sokhranyayuschie diz'yunktnost”, Dokl. AN SSSR, 248:5 (1979), 1033–1036 | MR | Zbl
[2] Abramovich Yu. A., Veksler A. I., Koldunov A. V., “Operatory, sokhranyayuschie diz'yunktnost, ikh nepreryvnost i multiplikativnoe predstavlenie”, Lineinye operatory i ikh prilozheniya, Mezhvuz. sb. nauch. tr., LGPI, L., 1981, 3–34
[3] Kusraev A. G., Mazhoriruemye operatory, Nauka, M., 2003, 619 pp. | MR
[4] Abramovich Yu. A., Kitover A. K., Inverses of disjointness preserving operators, Memoirs of the American Mathematical Society, 143, no. 679, 2000 | DOI | MR
[5] Abramovich Yu. A., Kitover A. K., “$d$-Independence and $d$-basis in vector lattices”, Rev. Roumaine Math. Pures Appl., 44:5–6 (1999), 667–682 | MR | Zbl
[6] Abramovich Yu., Wickstead A., “The regularity of order bounded operators into $C(K)$”, Quart. J. Math. Oxford, Ser. 2, 44 (1993), 257–270 | DOI | MR | Zbl
[7] Aliprantis C. D., Burkinshaw O., Positive Operators, Acad. Press Inc., London, 1985 | MR | Zbl
[8] Boulabiar K., Buskes G., Sirotkin G., “Algebraic order bounded disjointness preserving operators and strongly diagonal operators”, Integral Equations and Operator Theory, 54 (2006), 9–31 | DOI | MR | Zbl
[9] Gutman A. E., “Locally one-dimentional $K$-spaces and $\sigma$-distributive Boolean algebras”, Siberian Adv. Math., 5:2 (1995), 99–121 | MR
[10] Gutman A. E., Kusraev A. G., Kutateladze S. S., “The Wickstead problem”, Siberian Electronic Math. Reports, 5 (2008), 293–333 | MR | Zbl
[11] McPolin P. T. N., Wickstead A. W., “The order boundedness of band preserving operators on uniformly complete vector lattices”, Math. Proc. Cambridge Philos. Soc., 97:3 (1985), 481–487 | DOI | MR | Zbl
[12] Wickstead A. W., “Representation and duality of multiplication operators on Archimedean Riesz spaces”, Comp. Math., 35:3 (1977), 225–238 | MR | Zbl