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Orthogonal Frames in Krein Spaces

Author

Listed:
  • 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)

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.

Suggested Citation

  • Osmin Ferrer & Arley Sierra & Osvaldo Polo, 2022. "Orthogonal Frames in Krein Spaces," Mathematics, MDPI, vol. 10(19), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3588-:d:931245
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    References listed on IDEAS

    as
    1. Ghanshyam Bhatt, 2019. "Sums of A Pair of Orthogonal Frames," Mathematics, MDPI, vol. 7(7), pages 1-11, June.
    2. Osmin Ferrer & Arley Sierra & José Sanabria, 2021. "Soft Frames in Soft Hilbert Spaces," Mathematics, MDPI, vol. 9(18), pages 1-15, September.
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