Some properties of K-frame in n-Hilbert space

2021/02/10 by Ghosh, Prasenjit, Samanta, Tapas Kumar
#42C15 #46C07 #46C50 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2102.05255

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.

Related

• Continuous K-G-Frame in Hilbert Spaces
• Dual continuous K-Frames in Hilbert spaces
• K-bi-g-frames in Hilbert spaces
• Controlled frames in n-Hilbert spaces and their tensor products
• A brief introduction to Hilbert space frame theory and its applications