Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 238-253
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V. I. Rybakov. Pettis integrability of Stone transforms. Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 238-253. http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a6/
@article{MZM_1996_60_2_a6,
author = {V. I. Rybakov},
title = {Pettis integrability of {Stone} transforms},
journal = {Matemati\v{c}eskie zametki},
pages = {238--253},
year = {1996},
volume = {60},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a6/}
}
TY - JOUR
AU - V. I. Rybakov
TI - Pettis integrability of Stone transforms
JO - Matematičeskie zametki
PY - 1996
SP - 238
EP - 253
VL - 60
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a6/
LA - ru
ID - MZM_1996_60_2_a6
ER -
%0 Journal Article
%A V. I. Rybakov
%T Pettis integrability of Stone transforms
%J Matematičeskie zametki
%D 1996
%P 238-253
%V 60
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1996_60_2_a6/
%G ru
%F MZM_1996_60_2_a6
Let $f$ be a bounded Pettis integrable function ranging in a Banach space $X$ (the range of the indefinite Pettis integral is separable). We consider Pettis integrability conditions for the Stone transform of $f$ and relate this problem to the regular oscillation condition for the family of functions $\{x^*f:x^*\in B(X^*)\}$, where $B(X^*)$ is the unit ball in $X^*$.
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