Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 209-214
Citer cet article
V. P. Fonf. Conditionally convergent series in a uniformly smooth Banach space. Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 209-214. http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a10/
@article{MZM_1972_11_2_a10,
author = {V. P. Fonf},
title = {Conditionally convergent series in a uniformly smooth {Banach} space},
journal = {Matemati\v{c}eskie zametki},
pages = {209--214},
year = {1972},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a10/}
}
TY - JOUR
AU - V. P. Fonf
TI - Conditionally convergent series in a uniformly smooth Banach space
JO - Matematičeskie zametki
PY - 1972
SP - 209
EP - 214
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a10/
LA - ru
ID - MZM_1972_11_2_a10
ER -
%0 Journal Article
%A V. P. Fonf
%T Conditionally convergent series in a uniformly smooth Banach space
%J Matematičeskie zametki
%D 1972
%P 209-214
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a10/
%G ru
%F MZM_1972_11_2_a10
The theorem of Steinitz on the form of the set of points which are sums of convergent rearrangements of a given series is extended to series $\sum x_k$ in the uniformly smooth Banach space $X$ with modulus of smoothness $\rho(t)$, satisfying the condition $\sum\rho(||x_k||)<\infty$.
