4 papers · 1 filter
Korovkin-type approximation results through summability methods in the Applied Science
M. del Carmen Listán-García, María Pilar Romero de la Rosa
We present Korovkin approximation theorems that incorporate summability methods. These result allows us to obtain a unified treatment of several previous results, focusing on the u…
Classical theorems through convergence methods
Fernando León-Saavedra, M. del Carmen Listán-García, María Pilar Romero de la Rosa
We survey some results that provide different versions of classical results through different summability methods. Specifically, in order to adapt such classical results, we analyz…
On -Grothendieck subspaces
Manuel González, Fernando León-Saavedra, María del Pilar Romero de la Rosa
A closed subspace of is said to be a \emph{-Grothendieck subspace} if (hence ) and every -converg…
A local spectral condition for strong compactness with some applications to bilateral weighted shifts
Miguel Lacruz, Maria del Pilar Romero de la Rosa
An algebra of bounded linear operators on a Banach space is said to be {\em strongly compact} if its unit ball is precompact in the strong operator topology, and a bounded linear o…