Add to ORKGIn this paper we prove that the tensor product of two sequences is a frame (Riesz basis) if and only if each part of this product is a frame (Riesz basis). Using this result, we extend some density and sampling theorems to higher dimensions. To prove the part of our main result concerning Riesz bases, we prove that the tensor product of two bounded operators is invertible only if each part of this product is invertible
AbstractIn this paper we investigate the connection between fusion frames and obtain a relation betw...
AbstractA sequence of vectors {fn} in a separable Hilbert space H is a frame if there are positive c...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
In this paper we prove that the tensor product of two sequences is a frame (Riesz basis) if and only...
Abstract To construct dual frames with good structure for a given frame is a fundamental problem in ...
In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert...
AbstractWe obtain a condition implying that the union of two frame sequences is also a frame sequenc...
The aim of this Project is to present the central parts of the theory of Frames and Bases. A basis ...
Abstract. In this article, we study tensor product of Hilbert C∗-modules and Hilbert spaces. We show...
AbstractWe consider frames which contain a Riesz basis. Among those, we find Riesz frames, i.e., fra...
In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames ...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
We show that the tensor product of two operatorvalued frames for two Hilbert C*-modules is an opera...
AbstractFrames in a Banach space B were defined as a sequence in its dual space B⁎ in some recent re...
In this paper we investigate the connection between fusion frames and obtain a relation between inde...
AbstractIn this paper we investigate the connection between fusion frames and obtain a relation betw...
AbstractA sequence of vectors {fn} in a separable Hilbert space H is a frame if there are positive c...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
In this paper we prove that the tensor product of two sequences is a frame (Riesz basis) if and only...
Abstract To construct dual frames with good structure for a given frame is a fundamental problem in ...
In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert...
AbstractWe obtain a condition implying that the union of two frame sequences is also a frame sequenc...
The aim of this Project is to present the central parts of the theory of Frames and Bases. A basis ...
Abstract. In this article, we study tensor product of Hilbert C∗-modules and Hilbert spaces. We show...
AbstractWe consider frames which contain a Riesz basis. Among those, we find Riesz frames, i.e., fra...
In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames ...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
We show that the tensor product of two operatorvalued frames for two Hilbert C*-modules is an opera...
AbstractFrames in a Banach space B were defined as a sequence in its dual space B⁎ in some recent re...
In this paper we investigate the connection between fusion frames and obtain a relation between inde...
AbstractIn this paper we investigate the connection between fusion frames and obtain a relation betw...
AbstractA sequence of vectors {fn} in a separable Hilbert space H is a frame if there are positive c...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...