Abstract
The concepts of controlled frame and it’s 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.
