In this paper, we have defined A-cone and related concepts in Banach spaces and prove a
result concerning convergence of a sequence in an A-cone. Also, atomic system for a subset …

In this work, we provide some constructions and the sum of new continuous Kgframes in
Hilbert C∗-Modules. We provide certaines necessary and sufficient conditions for some …

In this paper, we prove some properties of controlled g-frames. A necessary and sufficient
condition for a controlled g-Bessel sequence to be a controlled g-frame is obtained. In …

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 …

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 …

$ 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 …