Duality for frames in Krein spaces. Giribet, J. I., Maestripieri, A., & Martínez Pería, F. Mathematische Nachrichten, 2018. doi abstract bibtex \textcopyright 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is also compatible with the indefinite inner-product of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated with an orthonormal basis in a Krein space. This work is devoted to study duality for J-frames in Krein spaces. Also, tight and Parseval J-frames are defined and characterized.
@Article{Giribet2018,
author = {Giribet, J. I. and Maestripieri, A. and {Mart{\'{i}}nez Per{\'{i}}a}, F.},
title = {{Duality for frames in Krein spaces}},
journal = {Mathematische Nachrichten},
year = {2018},
number = {October},
pages = {1--19},
abstract = {{\textcopyright} 2018 WILEY-VCH Verlag GmbH {\&} Co. KGaA, Weinheim. A J-frame for a Krein space H is in particular a frame for H (in the Hilbert space sense). But it is also compatible with the indefinite inner-product of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated with an orthonormal basis in a Krein space. This work is devoted to study duality for J-frames in Krein spaces. Also, tight and Parseval J-frames are defined and characterized.},
doi = {10.1002/mana.201700149},
file = {:Users/juan/Library/Application Support/Mendeley Desktop/Downloaded/Giribet, Maestripieri, Mart{\'{i}}nez Per{\'{i}}a - 2018 - Duality for frames in Krein spaces.pdf:pdf},
keywords = {Frames,Krein spaces,Signal processing},
}
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