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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1974, Volume 16, Issue 6, Pages 887–897 (Mi mz7530)

Limits of indeterminacy of sequences obtained from a given sequence using a regular transformation

N. N. Kholshchevnikova

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: 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 $\varlimsup\limits_{m\to\infty}\sum_{n=0}^\infty|a_{mn}|=C$ è $\varlimsup\limits_{m\to\infty}\sum_{n=0}^\infty|b_{mn}|=C'$

Full text: PDF file (716 kB)

English version:
Mathematical Notes, 1974, 16:6, 1126–1132

Bibliographic databases:

UDC: 517.5

Citation: N. N. Kholshchevnikova, “Limits of indeterminacy of sequences obtained from a given sequence using a regular transformation”, Mat. Zametki, 16:6 (1974), 887–897; Math. Notes, 16:6 (1974), 1126–1132

Citation in format AMSBIB
\Bibitem{Kho74} \by N.~N.~Kholshchevnikova \paper Limits of indeterminacy of sequences obtained from a~given sequence using a~regular transformation \jour Mat. Zametki \yr 1974 \vol 16 \issue 6 \pages 887--897 \mathnet{http://mi.mathnet.ru/mz7530} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=377344} \zmath{https://zbmath.org/?q=an:0308.40006} \transl \jour Math. Notes \yr 1974 \vol 16 \issue 6 \pages 1126--1132 \crossref{https://doi.org/10.1007/BF01098437}