Duality for frames in Krein spaces

Juan Ignacio Giribet, Alejandra Maestripieri and Francisco Martínez Pería

Mathematische Nachrichten, 2018, vol. 291, issue 5-6, 879-896

Abstract: 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.

Date: 2018
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