On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice
Inomjon Ganiev; Farrukh Mukhamedov
Commentationes Mathematicae Universitatis Carolinae (2006)
- Volume: 47, Issue: 3, page 427-436
- ISSN: 0010-2628
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topGaniev, Inomjon, and Mukhamedov, Farrukh. "On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^p(\nabla ,\mu )$." Commentationes Mathematicae Universitatis Carolinae 47.3 (2006): 427-436. <http://eudml.org/doc/249859>.
@article{Ganiev2006,
abstract = {In the present paper we prove the “zero-two” law for positive contractions in the Banach-Kantorovich lattices $L^p(\nabla ,\mu )$, constructed by a measure $\mu $ with values in the ring of all measurable functions.},
author = {Ganiev, Inomjon, Mukhamedov, Farrukh},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Banach-Kantorovich lattice; ``zero-two'' law; positive contraction; Banach-Kantorovich lattice; ``zero-two'' law},
language = {eng},
number = {3},
pages = {427-436},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^p(\nabla ,\mu )$},
url = {http://eudml.org/doc/249859},
volume = {47},
year = {2006},
}
TY - JOUR
AU - Ganiev, Inomjon
AU - Mukhamedov, Farrukh
TI - On the “zero-two” law for positive contractions in the Banach-Kantorovich lattice $L^p(\nabla ,\mu )$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2006
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 47
IS - 3
SP - 427
EP - 436
AB - In the present paper we prove the “zero-two” law for positive contractions in the Banach-Kantorovich lattices $L^p(\nabla ,\mu )$, constructed by a measure $\mu $ with values in the ring of all measurable functions.
LA - eng
KW - Banach-Kantorovich lattice; ``zero-two'' law; positive contraction; Banach-Kantorovich lattice; ``zero-two'' law
UR - http://eudml.org/doc/249859
ER -
References
top- Benderskiy O.Ya., -spaces for measures with values in a topological semifield, Doklady Akad. Nauk UzSSR, 1976, n.9, 3-4 (Russian).
- Chilin V.I., Ganiev I.G., An individual ergodic theorem for contractions in the Banach-Kantorovich lattice , Russian Math. (Iz. VUZ) 44 (2000), 7 77-79. (2000) MR1803997
- Ganiev I.G., Measurable bundles of Banach lattices, Uzbek. Mat. Zh. 5 (1998), 14-21 (Russian). (1998) MR1802533
- Ganiev I.G., Measurable bundles of metrizable topological spaces, Doklady Akad. Nauk Rep. Uzb. 4 (1999), 8-11 (Russian). (1999)
- Ganiev I.G., Martingales in the Banach-Kantorovich’s lattices , Proc. Int. Conf. Math. and its Appl. in New Millenium, Univ. Putra, Malaysia, 2001, pp,52-59.
- Ganiev I.G., Chilin V.I., Measurable bundles of noncommutative -spaces associated with a center-valued trace, Siberian Adv. Math. 12 (2002), 4 19-33. (2002) MR1984635
- Gutman A.E., Banach bundles in the theory of lattice-normed spaces, III, Siberian Adv. Math. 3 (1993), 4 8-40. (1993) MR1323890
- Gutman A.E., Banach fiberings in the theory of lattice-normed spaces. Order-compatible linear operators, Trudy Inst. Mat. 29 (1995), Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 1995, pp.63-211 (Russian). (1995) MR1774033
- Foguel S.R., On the ``zero-two'' law, Israel J. Math. 10 (1971), 275-280. (1971) Zbl0229.60056MR0298759
- Kantorovich L.V., Vulih B.Z., Pinsker A.G., Functional Analysis in Partially Ordered Spaces, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad, 1950 (Russian). MR0038006
- Katznelson Y., Tzafriri L., On power bounded operators, J. Funct. Anal. 68 (1986), 313-328. (1986) Zbl0611.47005MR0859138
- Kusraev A.G., Vector Duality and its Applications, Novosibirsk, Nauka, 1985 (Russian). Zbl0616.49010MR0836135
- Kusraev A.G., Dominanted Ooperators, Mathematics and its Applications, 519, Kluwer Academic Publishers, Dordrecht, 2000. MR1793005
- Ornstein D., Sucheston L., An operator theorem on convergence to zero with applications to Markov kernels, Ann. Math. Statis. 41 (1970), 1631-1639. (1970) Zbl0284.60068MR0272057
- Sarymsakov T.A., Topological Semifields and its Applications, Tashkent, Fan, 1989 (Russian). MR1200017
- Vulih B.Z., Introduction to Theory of Partially Ordered Spaces, Moscow, 1961 (Russian); English translation: Wolters-Noordhoff, Groningen, 1967. MR0224522
- Woyczynski W.A., Geometry and martingales in Banach spaces, Lecture Notes in Math., vol. 472, Springer, Berlin, 1975, pp.235-283. Zbl0353.60044MR0394131
- Zaharopol R., The modulus of a regular linear operators and the “zero-two” law in -spaces , , J. Funct. Anal. 68 (1986), 300-312. (1986) MR0859137
- Zaharopol R., On the ``zero-two'' law for positive contractions, Proc. Edinburgh Math. Soc. 32 (1989), 363-370. (1989) Zbl0663.47028MR1015480
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