Casazza and Christensen in [5], introduced and studied the reconstruction property in
Banach spaces. In this paper sufficient conditions for the existence of the reconstruction …

In this article, we have defined µ-exact and finitely exact Banach frames and discuss their
existence and relationship. A necessary condition for the existence of a µ-exact Banach …

A stronger version of the notion of frame in Banach space called Strong Retro Banach frame
(SRBF) is defined and studied. It has been proved that if $\mathcal {X} $ is a Banach space …

Abstract top Schauder frames were introduced by Han and Larson [9] and further studied by
Casazza, Dilworth, Odell, Schlumprecht and Zsak [2]. In this paper, we have introduced …

ON SOME CLASSES OF SCHAUDER FRAMES IN BANACH SPACES Page 1 International
Journal of Wavelets, Multiresolution and Information Processing Vol. 12, No. 2 (2014) …

In this paper, we define cone CF associated with Schauder frame F=({xn},{fn}) in Banach
spaces. A necessary and sufficient condition for a cone CF to be normal has been given …

A sufficient condition for a boundedly complete O-frame and a necessary condition for an
unconditional O-frame are given. Also, a necessary and sufficient condition for an absolute …

In this note, it is shown that if (f_i, g_i) _ i= 1^ ∞ ∈ L_p (R^ d) * L_q (R^ d)(fi, gi) i= 1∞∈ L p
(R d)× L q (R d) is a Schauder frame for a closed subspace X of L_p (R^ d) L p (R d), then X …