IJPAM: Volume 45, No. 2 (2008)

ON FRAMES IN CONJUGATE BANACH SPACES

S.K. Kaushik$^1$, Raj Kumar$^2$
$^{1,2}$Department of Mathematics
Kirori Mal College
University of Delhi
Delhi, 110 007, INDIA
$^1$e-mail: shikk2003@yahoo.co.in
$^2$e-mail: rajkmc@gmail.com


Abstract.Finite sum of frames for conjugate Banach spaces have been studied. A sufficient condition under which finite sum of retro Banach frames is a retro Banach frame has been given. Also, perturbation of retro Banach frames by a non-zero vector has been considered and a necessary and sufficient condition for the perturbed sequence to be a retro Banach frame has been given. Finally, a necessary and sufficient condition for the stability of a retro Banach frame has been given.

Received: April 23, 2008

AMS Subject Classification: 42C15, 42A38

Key Words and Phrases: retro Banach frame, Banach frame, frame

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 2