Some Identities and Inequalities for Hilbert-Schmidt Frames

Abstract

In this paper we establish Parseval type identities and surprising new inequalities for Hilbert-Schmidt frames. Our results generalize and improve the remarkable results which have been obtained by Balan et al. and G{ă}vru{ţ}a.

14 pages

References in corpus (1)

• Hilbert space valued Gabor frames in weighted amalgam spaces

Cited by in corpus (3)

• Approximation of the Inverse Frame Operator and Stability of Hilbert$-$Schmidt Frames
• Semi-continuous g-frames in Hilbert spaces
• Splitting of operator for frame inequalities in Hilbert spaces