Geodesic
Limits of indeterminacy of sequences obtained from a given sequence using a regular transformation
Matematičeskie zametki, Tome 16 (1974) no. 6, pp. 887-897 
N. N. Kholshchevnikova. Limits of indeterminacy of sequences obtained from a given sequence using a regular transformation. Matematičeskie zametki, Tome 16 (1974) no. 6, pp. 887-897. http://geodesic.mathdoc.fr/item/MZM_1974_16_6_a4/
@article{MZM_1974_16_6_a4,
     author = {N. N. Kholshchevnikova},
     title = {Limits of indeterminacy of sequences obtained from a~given sequence using a~regular transformation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {887--897},
     year = {1974},
     volume = {16},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_6_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem considered is how there can be a set of weak accumulation points of the subsequences of a sequence obtained from a given sequence by using a regular transformation of the class $T(C,C')$ when the terms of the sequences are elements of a reflexive Banach space. $T(C,C')$ denotes the class of complex regular matrices $c_{mn}$ ($c_{mn}=a_{mn}+ib_{mn}$, where $a_{mn}$ and $a_{mn}$ are real numbers) satisfying the conditions $\varlimsup\limits_{m\to\infty}\sum_{n=0}^\infty|a_{mn}|=C$ и $\varlimsup\limits_{m\to\infty}\sum_{n=0}^\infty|b_{mn}|=C'$