Submitted:
08 July 2022
Posted:
12 July 2022
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Abstract
In the present paper we introduce the concept of orthogonal frames in Krein spaces, prove the independence of the choice of the fundamental symmetry, and from this we obtain a number of interesting properties that they satisfy. We show that there is no distinction between orthogonal frames in a Krein space and orthogonal frames in its associated Hilbert. Furthermore, we characterize frames dual to a given frame, which is a useful tool for constructing examples.
Keywords:
Krein space
; fundamental symmetry
; Hilbert associated
; frames
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