On Schauder frames in conjugate Banach spaces
SK Kaushik, SK Sharma, KT Poumai - Journal of Mathematics, 2013 - Wiley Online Library
Weak*‐Schauder frame in conjugate Banach spaces has been introduced and studied. A
sufficient condition for the existence of weak*‐Schauder frame in the conjugate space of a …
sufficient condition for the existence of weak*‐Schauder frame in the conjugate space of a …
On the existence of non-linear frames
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 …
(SRBF) is defined and studied. It has been proved that if $\mathcal {X} $ is a Banach space …
Approximative K-atomic decompositions and frames in Banach spaces
S Jahan - Arab Journal of Mathematical Sciences, 2020 - emerald.com
L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an
operator, in Hilbert spaces, which is significant in frame theory and has many applications. In …
operator, in Hilbert spaces, which is significant in frame theory and has many applications. In …
On a generalization of atomic decompositions
SK Kaushik, SK Sharma - Albanian Journal of Mathematics, 2011 - projecteuclid.org
We generalize atomic decomposition for Banach spaces and called it T-atomic
decomposition. A necessary condition for T-atomic decomposition is given. A …
decomposition. A necessary condition for T-atomic decomposition is given. A …
Approximative Atomic Systems for operators in Banach spaces
S Jahan - arXiv preprint arXiv:1909.05334, 2019 - arxiv.org
$ K $-frames and atomic systems for an operator $ K $ in Hilbert spaces were introduced by
Gavruta\cite {12} and further studied by Xio, Zhu and Gavruta\cite {21}. In this paper, we …
Gavruta\cite {12} and further studied by Xio, Zhu and Gavruta\cite {21}. In this paper, we …