Weaving frames in n-Hilbert space

Abstract

The theory of [Formula: see text]-Hilbert space is very important in Functional analysis. Based on wavelet theory, the Frame theory is developed, and the classical results of frame theory are established in Hilbert space. There are several new extensions and generalizations on frames in Hilbert space such as weaving frames in Hilbert space. In this paper, the concept of weaving frames in [Formula: see text]-Hilbert space is introduced. We obtain some new properties of weaving frames in [Formula: see text]-Hilbert space. First, we give some characterizations of weaving frames in [Formula: see text]-Hilbert space. Then, we give some stability and perturbation results on weaving frames in [Formula: see text]-Hilbert space.