| Title:
|
Abstract characterization of Orlicz-Kantorovich lattices associated with an $L_0$-valued measure (English) |
| Author:
|
Zakirov, Botir |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
4 |
| Year:
|
2008 |
| Pages:
|
595-610 |
| . |
| Category:
|
math |
| . |
| Summary:
|
An abstract characterization of Orlicz-Kantorovich lattices constructed by a measure with values in the ring of measurable functions is presented. (English) |
| Keyword:
|
Orlicz-Kantorovich lattice |
| Keyword:
|
vector-valued measure |
| Keyword:
|
Orlicz function |
| MSC:
|
46B42 |
| MSC:
|
46E30 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 1212.46039 |
| idMR:
|
MR2493940 |
| . |
| Date available:
|
2009-05-05T17:13:21Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119748 |
| . |
| Reference:
|
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| Reference:
|
[2] Claas W.J., Zaanen A.C.: Orlicz lattices.Comment. Math. Special Issue 1 (1978), 77-93. Zbl 0384.46020, MR 0504154 |
| Reference:
|
[3] Ganiev I.G.: Measurable bundles of lattices and their applications.Investigations in Functional Analysis and its Applications, Nauka, Moscow, 2006, pp.9-49 (Russian). MR 2272750 |
| Reference:
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[4] Gutman A.E.: Banach bundles 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). Zbl 0854.46006, MR 1774033 |
| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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[9] Lacey H.E.: The Isometric Theory of Classical Banach Spaces.Springer, New York-Heidelberg, 1974. Zbl 0285.46024, MR 0493279 |
| Reference:
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[10] Sarymsakov T.A.: Topological Semifields and their Applications.Fan, Tashkent, 1989 (Russian). Zbl 0791.54051, MR 1200017 |
| Reference:
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[11] Vladimirov D.A.: Boolean Algebras.Nauka, Moscow, 1969 (Russian). Zbl 1036.06001, MR 0263713 |
| Reference:
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[12] Vulikh B.Z.: Introduction to the Theory of Partially Ordered Spaces.Fizmatgiz, Moscow, 1961 (Russian); English translation: Wolters-Noordhoff, Groningen, 1967. Zbl 0186.44601, MR 0224522 |
| Reference:
|
[13] Zakirov B.S.: The Luxemburg norm in the Orlicz-Kantorovich space.Uzbek. Mat. Zh. no. 2 (2007), 32-44 (Russian). MR 2568484 |
| Reference:
|
[14] Zakirov B.S.: Orlicz-Kantorovich lattices associated with an $L_0$-valued measure.Uzbek. Mat. Zh. no. 4 (2007), 18-34 (Russian). Zbl 1190.46035, MR 2569170 |
| Reference:
|
[15] Zakirov B.S.: Analytical representation of $L_0$-valued homomorphisms in Orlicz-Kantorovich modules.Mat. Trudy 10 (2007), 2 112-141 (Russian). MR 2382419 |
| . |
