Frames in Krein spaces arising from a non-regular $W$-metric

Kevin  Esmeral; Osmin  Ferrer; Elmar  Wagner

doi:10.15352/bjma/09-1-1

2015 Frames in Krein spaces arising from a non-regular $W$-metric

Kevin Esmeral, Osmin Ferrer, Elmar Wagner

Banach J. Math. Anal. 9(1): 1-16 (2015). DOI: 10.15352/bjma/09-1-1

Abstract

A definition of frames in Krein spaces is stated and a complete characterization is given by comparing them to frames in the associated Hilbert space. The basic tools of frame theory are described in the formalism of Krein spaces. It is shown how to transfer a frame for Hilbert spaces to Krein spaces given by a $W$-metric, where the Gram operator $W$ is not necessarily regular and possibly unbounded.

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Kevin Esmeral, Osmin Ferrer, and Elmar Wagner "Frames in Krein spaces arising from a non-regular $W$-metric," Banach Journal of Mathematical Analysis 9(1), 1-16, (2015). https://doi.org/10.15352/bjma/09-1-1

Published: 2015

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