Geodesic
On Zolezzi's Theorem for Infinite Measure Spaces
Journal of convex analysis, Tome 30 (2023) no. 1, pp. 1-4
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We discuss the infinite measure counterpart of Zolezzi's Theorem for infinite measure spaces. For a measure space with infinite measure, $(\Omega, \Sigma, \mu)$, we construct a sequence in $L^\infty(\mu)$, with uniformly control upon its support measure, that does not converge in $L^p(\mu)$, for all $1\le p \infty$, however does converge weakly in $L^\infty(\mu)$.
Classification : 46E30
Mots-clés : Constructive counterexamples, Lebesgue spaces 
@article{JCA_2023_30_1_JCA_2023_30_1_a0,
     author = {K. Teixeira},
     title = {On {Zolezzi's} {Theorem} for {Infinite} {Measure} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {1--4},
     year = {2023},
     volume = {30},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JCA_2023_30_1_JCA_2023_30_1_a0/}
}
TY  - JOUR
AU  - K. Teixeira
TI  - On Zolezzi's Theorem for Infinite Measure Spaces
JO  - Journal of convex analysis
PY  - 2023
SP  - 1
EP  - 4
VL  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JCA_2023_30_1_JCA_2023_30_1_a0/
ID  - JCA_2023_30_1_JCA_2023_30_1_a0
ER  - 
%0 Journal Article
%A K. Teixeira
%T On Zolezzi's Theorem for Infinite Measure Spaces
%J Journal of convex analysis
%D 2023
%P 1-4
%V 30
%N 1
%U http://geodesic.mathdoc.fr/item/JCA_2023_30_1_JCA_2023_30_1_a0/
%F JCA_2023_30_1_JCA_2023_30_1_a0
K. Teixeira. On Zolezzi's Theorem for Infinite Measure Spaces. Journal of convex analysis, Tome 30 (2023) no. 1, pp. 1-4. http://geodesic.mathdoc.fr/item/JCA_2023_30_1_JCA_2023_30_1_a0/