Geodesic
Conditionally convergent series in a uniformly smooth Banach space
Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 209-214

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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 $\sum\rho(||x_k||)\infty$. 
@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},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a10/}
}
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%J Matematičeskie zametki
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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/