This is an announcement for the paper "The product duality formula in Banach space theory" by Enrique A. Sanchez-Perez.

Abstract: In this paper we analyze a definition of product of Banach spaces that is naturally associated by duality with an abstract notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of the functional analysis, that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown.

Archive classification: math.FA

Mathematics Subject Classification: 46A32, 46E30, 47A30, 46B10

Remarks: 14 pages

Submitted from: easancpe@mat.upv.es

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

http://front.math.ucdavis.edu/1408.2147

or

http://arXiv.org/abs/1408.2147