Controlled frames in n-Hilbert spaces and their tensor products

Abstract

The concepts of controlled frame and its dual in n-Hilbert space have been introduced and then some of their properties are going to be discussed. Also, we study controlled frame in tensor product of n-Hilbert spaces and establish a relationship between controlled frame and bounded linear operator in tensor product of n-Hilbert spaces. At the end, we consider the direct sum of controlled frames in n-Hilbert space.