Geodesic
Rearrangements of series in a Hilbert space
Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 275-280 Cet article a éte moissonné depuis la source Math-Net.Ru

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A theorem on rearrangements of numerical series, proved by Agnew, is extended to series in a Hilbert space. A complete proof is given of Orlicz's theorem on unconditionally convergent series in a Hilbert space. 
@article{MZM_1972_12_3_a7,
     author = {F. A. Talalyan},
     title = {Rearrangements of series in a {Hilbert} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {275--280},
     year = {1972},
     volume = {12},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a7/}
}
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F. A. Talalyan. Rearrangements of series in a Hilbert space. Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 275-280. http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a7/