Pure Mathematics- Analysis
IAU, Science and Research Branch,Tehran
Pure Mathematics- Analysis
Shahid Beheshti University
Pure Mathematics
Tabriz University
We characterize those operators that produces Parseval controlled g-frames. We produce nearly dual controlled g-frames from two given g-frames which are not dual g-frames for each other. Also we have some more results on controlled g-frames.
We introduce g-frame wavelet operators associated with a generalized g-frame multiresolution analysis of a Hilbert space H. We do this by defining g-frame generator sets and we obtain some important properties of generator sets. We establish a sufficient condition on a subset of bounded linear operators to be a g-frame multiwavelet operator set for H. We use a unitary system to construct a g-frame on H by a set of linear operators. Then we show the stability and robustness of these g-frames under erasures and small perturbations.
We use a unitary system and a set of linear operators to construct a g-frame on H and we obtain some important properties of this class of g-frame generator sets.
We show that the tensor product of two operator- valued frames for two Hilbert C*-modules is an operator-valued frame for the tensor product of these Hilbert C*-modules.
In this paper we obtain new ways to construct a g-frame for a Hilbert space. Also we have some results about excess of g-frames and stability of g-frames under small perturbations .