Frames on Krein Spaces
Shibashis Karmakar, Sk. Monowar Hossein
Abstract
Open-access reader
Shibashis Karmakar, Sk. Monowar Hossein
Abstract
Open-access reader
In this article we define frame for a Krein space K with a J-orthonormal basis and extend the notion of frame sequence and frame potential analogous to Hilbert spaces.We show that every frame is a sum of three orthonormal bases of a Krein space. We also find relation between frame and orthogonal projections on Krein space.
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In this article we define frame for a Krein space K with a J-orthonormal basis and extend the notion of frame sequence and frame potential analogous to Hilbert spaces.We show that every frame is a sum of three orthonormal bases of a Krein space. We also find relation between frame and orthogonal projections on Krein space.
Key concepts: Orthonormal basis, Hilbert space, Frame (networking), Space (punctuation), Mathematics, Basis (linear algebra), Pure mathematics, Relation (database)