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Suppose that $X$ is a Fréchet space, $〈 a_{i j} 〉$ is a regular method of summability and $(x_{i})$ is a bounded sequence in $X$ . We prove that there exists a subsequence $(y_{i})$ of $(x_{i})$ such that: either (a) all the subsequences of $(y_{i})$ are summable to a common limit with respect to $〈 a_{i j} 〉$ ; or (b) no subsequence of $(y_{i})$ is summable with respect to $〈 a_{i j} 〉$ . This result generalizes the Erdös-Magidor theorem which refers to summability of bounded sequences in Banach spaces. We also show that two analogous results for some $ω_{1}$ -locally convex spaces...

Regular Sequences of Symmetric Polynomials

Aldo Conca, Christian Krattenthaler, Junzo Watanabe (2009)

Rendiconti del Seminario Matematico della Università di Padova

Regular societies without short cycles

Václav Koubek, J. Rajlich (1980)

Commentationes Mathematicae Universitatis Carolinae

Regular spanning subgraphs of bipartite graphs of high minimum degree.

Csaba, Béla (2007)

The Electronic Journal of Combinatorics [electronic only]

Regularisation and the Mullineux map.

Fayers, Matthew (2008)

The Electronic Journal of Combinatorics [electronic only]

Regularity and transitivity of local-automorphism semigroups of locally finite forests

Růžena Blažková, Jan Chvalina (1984)

Archivum Mathematicum

Regularity of powers of binomial edge ideals of complete multipartite graphs

Hong Wang, Zhongming Tang (2023)

Czechoslovak Mathematical Journal

Let $G = K_{n_{1}, n_{2}, ..., n_{r}}$ be a complete multipartite graph on $[n]$ with $n > r > 1$ and $J_{G}$ being its binomial edge ideal. It is proved that the Castelnuovo-Mumford regularity $reg (J_{G}^{t})$ is $2 t + 1$ for any positive integer $t$ .

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