Geodesic
Measurable majorants in L1
Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 183-192

Voir la notice de l'article provenant de la source Cambridge University Press

Given a probability space (X, F, μ) and a σ-algebra A ⊂ F, arguably the most powerful tool in gaining information about an F-measurable function f from restricted knowledge of -measurability is that of the conditional expectation E(f | ); written throughout the remainder of this note. Two properties of conditional expectation that may be exploited to gain information, but which also limit conditional expectation's use are the following. 
Lambert, Alan. Measurable majorants in L1. Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 183-192. doi: 10.1017/S0017089500032067
@article{10_1017_S0017089500032067,
     author = {Lambert, Alan},
     title = {Measurable majorants in {L1}},
     journal = {Glasgow mathematical journal},
     pages = {183--192},
     year = {1997},
     volume = {39},
     number = {2},
     doi = {10.1017/S0017089500032067},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032067/}
}
TY  - JOUR
AU  - Lambert, Alan
TI  - Measurable majorants in L1
JO  - Glasgow mathematical journal
PY  - 1997
SP  - 183
EP  - 192
VL  - 39
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032067/
DO  - 10.1017/S0017089500032067
ID  - 10_1017_S0017089500032067
ER  - 
%0 Journal Article
%A Lambert, Alan
%T Measurable majorants in L1
%J Glasgow mathematical journal
%D 1997
%P 183-192
%V 39
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500032067/
%R 10.1017/S0017089500032067
%F 10_1017_S0017089500032067

[1] 1.Akermann, C. and Weaver, N., Minimal upper bounds of commuting operators, preprint. Google Scholar

[2] 2.Douglas, R., Contractive projections on Lrspace, Pacific J. Math., 15 (1965), 443–462. Google Scholar | DOI

[3] 3.Dodds, P., Huijsmans, C., and DePagter, B., Characterizations of conditional expectation-type operators, Pacific J. Math., 141 No. 1 (1990), 55–77. Google Scholar | DOI

[4] 4.Foguel, S., The ergodic theory of Markov processes (Van Nostrand, 1969). Google Scholar

[5] 5.Lambert, A., L p multipliers and nested sigma-algebras, to appear in Advances in Operator Theory. Google Scholar

[6] 6.Moy, S., Characterizations of conditional expectations as a transformation on function spaces, Pacific J. Math., 4 (1954), 47–64. Google Scholar | DOI

Cité par Sources :