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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…