Aliasing y pares (V,W)- duales oblicuos

PEDRO MASSEY; DEMETRIO STOJANOFF; MARÍA JOSÉ BENAC

Villa General Belgrano - Córdoba

Encuentro; XI Encuentro de Analistas A. P. Calderón; 2014

It has long been recognized that for a fixed frame F for W, oblique V-duality offers a much more flexible theory than classical duality, which comes from the fact that we can choose V from a large class of subspaces. Moreover, it has also been noticed that the relative position of the subspaces V and W, for which W and orthogonal V are in direct sum and add all, plays a key role when comparing oblique duality to classical duality. We give a detailed description of the role of the relative position of V and W in the V-duality of F in case the subspaces are finite dimensional. Our analysis relieson a multiplicative Lidskii's inequality and it is based on the complete list of the so-called principal angles between V and W. We apply this analysis to compute those rigidrotations U for W such that the canonical oblique dual of U.F minimize every convex potential;we also introduce a notion of aliasing for oblique dual pairs and compute those rigid rotations U of W such that the canonical oblique dual pair as sociated to U.F minimize the aliasing.