Some properties of K-frame in n-Hilbert space

TL;DR

This paper introduces and characterizes K-frames in n-Hilbert spaces, exploring their properties, sums, and the concept of tight K-frames, expanding the theoretical framework of frame theory in this context.

Contribution

The paper presents the notion of K-frames in n-Hilbert spaces, including their properties, sum stability, and the concept of tight K-frames, providing new theoretical insights.

Findings

Sum of two K-frames is also a K-frame in n-Hilbert space

Characterizations of K-frames are established

Properties of tight K-frames are described

Abstract

The notion of a K-frame in n-Hilbert space is presented and some of their characterizations are given. We verify that sum of two K-frames is also a K-frame in n-Hilbert space. Also, the concept of tight K-frame in n-Hilbert space is described and some properties of its are going to be established.