English

Frames on Krein Spaces

Functional Analysis 2014-06-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1406.6205,
  title  = {Frames on Krein Spaces},
  author = {Shibashis Karmakar and Sk Monowar Hossein},
  journal= {arXiv preprint arXiv:1406.6205},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T04:45:41.508Z