Add to ORKGAbstract: One of the essential applications of frames is that they lead to expansions of vectors in the underlying Hilbert space in terms of the frame elements. In this decomposition, dual frames have a key role. G-frames, introduced by Sun, cover many other recent generalizations of frames. In this paper, we give some characterizations of dual g-frames. Moreover, we prove that if two g-frames are close to each other, then we can find duals of them which are close to each other. Key words: Frame, dual frame, g-Riesz sequence, alternate dual, g-frame 1. Introduction an
$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems...
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relati...
Abstract. In this note, we aim to show that several known gener-alizations of frames are equivalent ...
Abstract This paper addresses approximately dual g-frames. First, we establish a connection between ...
Copyright 2015 c ⃝ E. Osgooei. This is an open access article distributed under the Creative Commons...
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones suc...
In this paper, rst we develop the duality concept for g-Bessel sequences and Bessel fusion sequence...
AbstractFusion frames and g-frames were considered recently as generalizations of frames in Hilbert ...
Abstract. Wenchang Sun in his paper [Wenchang Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl. ...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
The concept of frames in Hilbert spaces continues to play a very interesting role in many kinds of a...
Abstract. Certain facts about frames and generalized frames (g-frames) are extended for the g-frames...
In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...
$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems...
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relati...
Abstract. In this note, we aim to show that several known gener-alizations of frames are equivalent ...
Abstract This paper addresses approximately dual g-frames. First, we establish a connection between ...
Copyright 2015 c ⃝ E. Osgooei. This is an open access article distributed under the Creative Commons...
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones suc...
In this paper, rst we develop the duality concept for g-Bessel sequences and Bessel fusion sequence...
AbstractFusion frames and g-frames were considered recently as generalizations of frames in Hilbert ...
Abstract. Wenchang Sun in his paper [Wenchang Sun, G-frames and g-Riesz bases, J. Math. Anal. Appl. ...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
The concept of frames in Hilbert spaces continues to play a very interesting role in many kinds of a...
Abstract. Certain facts about frames and generalized frames (g-frames) are extended for the g-frames...
In this paper we proved that every g-Riesz basis for Hilbert space $H$ with respect to $K$ by adding...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...
$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems...
The concept of g-frame is a natural extension of the frame. This article mainly discusses the relati...
Abstract. In this note, we aim to show that several known gener-alizations of frames are equivalent ...