arXiv:1406.6205 Abstract | arXiv Analytics

arXiv:1406.6205 [math.FA]Abstract References Reviews Resources

Frames on Krein Spaces

Published 2014-06-24Version 1

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.

Comments: 11 pages

Categories: math.FA

Subjects: 42C15, 46C05, 46C20

Keywords: krein space, orthogonal projections, define frame, frame sequence, hilbert spaces

Related articles: Most relevant | Search more

arXiv:math/0509029 [math.FA] (Published 2005-09-02)

Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces

Sever Silvestru Dragomir

arXiv:1204.0096 [math.FA] (Published 2012-03-31)

Frames and Bases in Tensor Product of Hilbert Spaces

Amir Khosravi, Mohammad Sadegh Asgari

arXiv:1802.06363 [math.FA] (Published 2018-02-18)