3 papers
math.OA2012
Applications of fixed point theorems in the theory of invariant subspaces
Rafa Espínola, Miguel Lacruz
We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the exi…
math.FA2012
Hardy-Littlewood inequalities for norms of positive operators on sequence spaces
Miguel Lacruz
We consider estimates of Hardy and Littlewood for norms of operators on sequence spaces, and we apply a factorization result of Maurey to obtain improved estimates and simplified p…
math.FA2012
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…