Orthogonal Frames in Krein Spaces

Osmin Ferrer (), Arley Sierra and Osvaldo Polo
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Osmin Ferrer: Department of Mathematics, Faculty of Education and Sciences, University of Sucre, Kra 28 No. 5-267 Barrio Puerta Roja, Sincelejo 700001, Colombia
Arley Sierra: Department of Mathematics, Faculty of Education and Sciences, University of Sucre, Kra 28 No. 5-267 Barrio Puerta Roja, Sincelejo 700001, Colombia
Osvaldo Polo: Department of Mathematics, Faculty of Sciences, University of Cordoba, Kra 6 No. 77-305, Monteria 230002, Colombia

Mathematics, 2022, vol. 10, issue 19, 1-15

Abstract: In this 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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