فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we generalize the concept of scalability to g-frames, introduce scalable g-frames, obtain some characterizations for them, and demonstrate that scalability is stable under unitary operators and isomorphisms between two Hilbert spaces. In addition, we consider and study the piecewise scalability of frames in Hilbert spaces.  In particular, we present some necessary and sufficient conditions for the piecewise scalability of frames in H, and we will extend this concept to the tensor product of Hilbert spaces.