9 citations · 21 across the 17 of their papers we have counts for
5 papers · 1 filter
Dual and multiplier of -fusion frames
Mitra Shamsabadi, Ali Akbar Arefijamaal, Ghadir Sadeghi
In this paper, we introduce the concept of -fusion frames and propose the duality for such frames. The relation between the local frames of -fusion frames with their dual is…
Some results of -frames and their multipliers
Ali Akbar Arefijamaal, Mitra Shamsabadi
K-frames are strongly tools for the reconstruction elements from the range of a bounded linear operator K on a separable Hilbert space H. In this paper, we study some properties of…
U-cross Gram matrices and their invertibility
Peter Balazs, Mitra Shamsabadi, Ali Akbar Arefijamaal +1
The Gram matrix is defined for Bessel sequences by combining synthesis with subsequent analysis operators. If different sequences are used and an operator U is inserted we reach so…
Weaving Hilbert space fusion frames
Fahimeh Arabyani Neyshaburi, Ali Akbar Arefijamaal
A new notion in frame theory, so called weaving frames has been recently introduced to deal with some problems in signal processing and wireless sensor networks. Also, fusion frame…
K-frames in Hilbert -modules
Gh. Abbaspour Tabadkan, A. A. Arefijamaal, M. Mahmoudieh
In this paper, firstly we investigate conditions under which the action of an operator on a -frame, remain again a -frame for Hilbert module E. We also give a generalization…