Title of article :
ON SUM OF G-FRAMES IN HILBERT SPACES
Author/Authors :
CHUGH, RENU M.D. University - Department of Mathematics, India , GOEL, SHASHANK M.D. University - B S A Institute of Technology and Management - Department of Mathematics, India
Abstract :
We consider the sum of finite number of g-frames for a Hilbert space H and observed that their sum need not be a g-frame. A necessary and sufficient condition for the sum of two g-frames to be a g-frame has been obtained. Also, we study the sum of finite number of g-Bessel sequences and obtained some results regarding sum of g-Bessel sequences.
Journal title :
Jordan Journal Of Mathematics and Statistics
Journal title :
Jordan Journal Of Mathematics and Statistics
