Add to ORKGIn this paper we study g-frames on the direct sum of Hilbert spaces. We generalize some of the results about g-frames on super Hilbert spaces to the direct sum of a countable number of Hilbert spaces. Also we study the direct sum of g-frames, g-Riesz bases and g-orthonormal bases for these spaces. Moreover we consider perturbations, duals and equivalences for the direct sum of g-frames
Abstract. Wenchang Sun in his paper [Wenchang Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl. ...
<div style="font-size: 14.9433px; font-family: serif; left: 263.35px; top: 620.579px; transform: rot...
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert ...
In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones suc...
In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding...
In this paper we study the operators associated with g-frame se-quences in a Hilbert space H, i.e., ...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
Copyright 2015 c ⃝ E. Osgooei. This is an open access article distributed under the Creative Commons...
AbstractFusion frames and g-frames were considered recently as generalizations of frames in Hilbert ...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relati...
AbstractG-frames are generalized frames which include ordinary frames, bounded invertible linear ope...
Abstract. Wenchang Sun in his paper [Wenchang Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl. ...
<div style="font-size: 14.9433px; font-family: serif; left: 263.35px; top: 620.579px; transform: rot...
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert ...
In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones suc...
In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding...
In this paper we study the operators associated with g-frame se-quences in a Hilbert space H, i.e., ...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
Copyright 2015 c ⃝ E. Osgooei. This is an open access article distributed under the Creative Commons...
AbstractFusion frames and g-frames were considered recently as generalizations of frames in Hilbert ...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relati...
AbstractG-frames are generalized frames which include ordinary frames, bounded invertible linear ope...
Abstract. Wenchang Sun in his paper [Wenchang Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl. ...
<div style="font-size: 14.9433px; font-family: serif; left: 263.35px; top: 620.579px; transform: rot...
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert ...