Duality for Frames in Krein Spaces
Functional Analysis
2017-03-13 v1
Abstract
A -frame for a Krein space is in particular a frame for (in the Hilbert space sense). But it is also compatible with the indefinite inner-product of , meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated to an orthonormal basis in a Krein space. This work is devoted to study duality for -frames in Krein spaces. Also, tight and Parseval -frames are defined and characterized.
Keywords
Cite
@article{arxiv.1703.03660,
title = {Duality for Frames in Krein Spaces},
author = {J. I. Giribet and A. Maestripieri and Francisco Martínez Pería},
journal= {arXiv preprint arXiv:1703.03660},
year = {2017}
}