Abstract

ESCOBAR, GERMAN; ESMERAL, KEVIN  and  FERRER, OSMIN. Construction and coupling of frames in Hilbert spaces with W-metrics. Integración - UIS [online]. 2016, vol.34, n.1, pp.81-93. ISSN 0120-419X.  https://doi.org/10.18273/revint.v34n1-2016005.

A definition of frames unitarily equivalent in Hilbert spaces with W-metric is stated, and a characterization is given in terms of their respective analysis operators. From a Hilbert space with a frame we construct a Hilbert space with W-metric and a frame unitarily equivalent to the given one. Finally, we prove that the coupling of two frames is a frame.

Keywords : Krein spaces; W-spaces; W-metrics; construction of frames; coupling of frames; similar frames.

        · abstract in Spanish     · text in English     · English ( pdf )