[Banach] Abstract of a paper by Miguel Lacruz

This is an announcement for the paper "Hardy-Littlewood inequalities for norms of positive operators on sequence spaces" by Miguel Lacruz.

Abstract: 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 proofs for the special case of a positive operator.

Archive classification: math.FA

Mathematics Subject Classification: 47B37

Remarks: 3 pages, to appear in Lin. Alg. Appl

Submitted from: lacruz@us.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1208.3246

or

http://arXiv.org/abs/1208.3246