Article
Version 1
Preserved in Portico This version is not peer-reviewed
Orthogonal Frames in Krein Spaces
Version 1
: Received: 8 July 2022 / Approved: 12 July 2022 / Online: 12 July 2022 (08:10:52 CEST)
A peer-reviewed article of this Preprint also exists.
Ferrer, O.; Sierra, A.; Polo, O. Orthogonal Frames in Krein Spaces. Mathematics 2022, 10, 3588. Ferrer, O.; Sierra, A.; Polo, O. Orthogonal Frames in Krein Spaces. Mathematics 2022, 10, 3588.
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
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
