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Author:

Li, Y.-Z. (Li, Y.-Z..) | Dong, R.-Q. (Dong, R.-Q..)

Indexed by:

EI Scopus SCIE

Abstract:

In last decades, the operator theory of Krein spaces, Krein space approaches, and various generalizations of frames have interested many mathematicians due to their potential applications in mathematics and engineering. This paper addresses the frame theory for Krein spaces. We present some properties of J-orthonormal bases, Parseval frames and frames for Krein spaces, and a parametric expression of all duals of an arbitrarily given frame in Krein spaces. This study shows that the frame theory for Krein spaces is not a direct generalization of the frame theory for Hilbert spaces. © 2024 Taylor & Francis Group, LLC.

Keyword:

dual frame Parseval frame Frame Krein space J-orthonormal basis

Author Community:

  • [ 1 ] [Li Y.-Z.]School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing, China
  • [ 2 ] [Dong R.-Q.]School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing, China

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Source :

Numerical Functional Analysis and Optimization

ISSN: 0163-0563

Year: 2024

Issue: 4-6

Volume: 45

Page: 355-372

1 . 2 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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