E-g-frames

Document Type : Original Article

Authors
Hassan Hedayatirad
Tayebe Lal Shateri
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran.
10.22034/maco.5.1.9
Abstract
Frames have very important and interesting properties which make them very useful in the characterization of function spaces, signal processing and many other fields such as image processing, data compressing, sampling theory and so on. In the present paper, we introduce the notion of E-g-frames for a separable Hilbert
space H, where E is an invertible infinite matrix mapping on the Hilbert space ⊕Hn. E-g-frames in separable Hilbert spaces have some properties similar to those of frames, but not all the properties are similar. We study some properties of E-g-frames. Also, we give a result concerning the perturbation of E-g-frames and then use it to construct E-g-frames in separable Hilbert spaces.

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