Measurable multifunctions in nonseparable Banach spaces

被引：8

作者：

Barcenas, D ^{[1
]}

Urbina, W ^{[1
]}

机构：

[1] CENT UNIV VENEZUELA,FAC CIENCIAS,DEPT MATEMAT,CARACAS 1041A,VENEZUELA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 05期

关键词：

measurable multifunctions; set-valued martingales; multiconditional expectation; Radon-Nikodym property; Kuratowski-Mosco convergence; controllability; differential inclusions;

D O I：

10.1137/S0036141095296005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we define measurable multifunctions in nonseparable Banach spaces, prove a weak compactness criterion for the selectors of multifunctions integrably bounded, characterize Banach spaces that have the Radon-Nikodym property by means of convergence of multivalued martingales, generalize some recent results on convergence of set-valued conditional expectations, and give some applications to control theory and differential inclusions.

引用

页码：1212 / 1226

页数：15

共 50 条

[31] Banach envelopes in symmetric spaces of measurable operators
Czerwinska, M. M.
Kaminska, A.
[J]. POSITIVITY, 2017, 21 (01) : 473 - 492
[32] IMBEDDING THEOREMS FOR BANACH SPACES OF MEASURABLE FUNCTIONS
SEMENOV, EM
[J]. DOKLADY AKADEMII NAUK SSSR, 1964, 156 (06): : 1292 - &
[33] Approximation of Pettis Integrable Multifunctions with Values in Arbitrary Banach Spaces
Musial, Kazimierz
[J]. JOURNAL OF CONVEX ANALYSIS, 2013, 20 (03) : 833 - 870
[34] NONLINEAR FUNCTIONAL EQUATIONS AND EIGENVALUE PROBLEMS IN NONSEPARABLE BANACH SPACES
HESS, P
[J]. COMMENTARII MATHEMATICI HELVETICI, 1971, 46 (03) : 314 - &
[35] BASES AND COMPLEMENTS IN NONSEPARABLE BANACH-SPACES .2.
PLICHKO, AN
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1986, 27 (02) : 263 - 266
[36] A renorming of some nonseparable Banach spaces with the Fixed Point Property
Benavides, T. Dominguez
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 350 (02) : 525 - 530
[37] On the existence of overcomplete sets in some classical nonseparable Banach spaces
Koszmider, Piotr
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 281 (09)
[38] Integration of Multifunctions with Closed Convex Values in Arbitrary Banach Spaces
Candeloro, Domenico
Di Piazza, Luisa
Musial, Kazimierz
Sambucini, Anna Rita
[J]. JOURNAL OF CONVEX ANALYSIS, 2020, 27 (04) : 1233 - 1246
[39] Erratum to: Banach envelopes in symmetric spaces of measurable operators
M. M. Czerwińska
A. Kamińska
[J]. Positivity, 2017, 21 : 493 - 493
[40] FUZZY INTEGRAL OF MEASURABLE MULTIFUNCTIONS
Croitoru, A.
[J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2012, 9 (04): : 133 - 140

← 1 2 3 4 5 →