arXiv subjects

María del Pilar Romero de la Rosa

Publications and source records attributed to María del Pilar Romero de la Rosa.

2 recordsLinked to original sources

arXiv2023

On lacunary statistical convergence and lacunary stron Cesàro convergence by moduli

Here we fully complete the studies initiated by Vinod K. Bhardwaj and Shweta Dhawan in \cite{hindawi} which relate different convergence methods which involves the classical statistical and the classical strong Cesàro convergences by means of lacunary sequences and measures of density in $\mathbb{N}$ modulated by a modulus function $f$.

math.FA↗

arXiv2020

On $\ell_\infty$-Grothendieck subspaces

A closed subspace $S$ of $\ell_\infty$ is said to be a \emph{$\ell_\infty$-Grothendieck subspace} if $c_0\subset S$ (hence $\ell_\infty\subset S^{**}$) and every $σ(S^*,S)$-convergent sequence in $S^*$ is $σ(S^*,\ell_\infty)$-convergent. Here we give examples of closed subspaces of $\ell_\infty$ containing $c_0$ which are or fail to be $\ell_\infty$-Grothendieck.

math.FA↗