Title of article :
G-Frames and Direct Sums
Author/Authors :
KHOSRAVI, AMIR Faculty of Mathematical Sciences and Computer - Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran , MIRZAEE AZANDARYANI, M Faculty of Mathematical Sciences and Computer - Kharazmi University, 599 Taleghani Ave., Tehran 15618, Iran
Abstract :
In this paper we study g-frames on the direct sum of Hilbert spaces. We generalize some of the results about g-frames on super Hilbert spaces to the direct sum of a countable number of Hilbert spaces. Also we study the direct sum of g-frames, g-Riesz bases and g-orthonormal bases for these spaces. Moreover we consider perturbations, duals and equivalences for the direct sum of g-frames.
Keywords :
Direct sums , g , frames , g , orthonormal bases , g , Riesz bases
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
