S. A. Rudakov, T. N. Rudakova, “Divegrent sequences in Banach spaces”, Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10, 5

Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika

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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2008, Issue 10, Pages 5–18 (Mi vchgu87)

Mathematical and functional analysis

Divegrent sequences in Banach spaces

S. A. Rudakov^a, T. N. Rudakova^b

^a Chelyabinsk State University
^b South Ural State University, Chelyabinsk

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Abstract: The method of construction of the class of the sequences not containing pseudo-converging subsequences (summable by arithmetic means) is developed. The example of a Banach space of sequences with some topology is constructed that containing pseudo-converging, divergent in the sence of norm sequences, but all not containing pseudo-converging subsequences sequences diverges.

Document Type: Article

Language: Russian

Citation: S. A. Rudakov, T. N. Rudakova, “Divegrent sequences in Banach spaces”, Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10, 5–18

Citation in format AMSBIB

\Bibitem{RudRud08}

\by S.~A.~Rudakov, T.~N.~Rudakova

\paper Divegrent sequences in Banach spaces

\jour Vestnik Chelyabinsk. Gos. Univ.

\yr 2008

\issue 10

\pages 5--18

\mathnet{http://mi.mathnet.ru/vchgu87}

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