New inequalities for weaving frames in Hilbert spaces

Abstract

Abstract In this paper, we establish Parseval identities and surprising new inequalities for weaving frames in Hilbert spaces which involve scalar λ ∈ R $\lambda \in {\mathcal{R}}$ . With suitable choices of λ, one obtains the previous results as special cases. Our results generalize and improve the remarkable results obtained by Balan et al. and Găvruţa.

Keywords

• Weaving frames
• Frames
• Hilbert spaces