Results 1 to 10 of about 2,690,960 (25)

Generalized fusion frame in tensor product of Hilbert spaces [PDF]

Journal of the Indian Math. Soc. Vol. 89, Nos. (1{2) (2022), 58{71, 2021
Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor product of Hilbert spaces is considered. Finally, the frame operator for a pair of g-fusion Bessel sequences in tensor product of Hilbert spaces is presented.
arxiv   +1 more source

Fusion frame and its alternative dual in tensor product of Hilbert spaces [PDF]

CREAT.MATH.INFORM., 33 (1), 2024, 33-46, 2021
We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties. The resolution of the identity operator on a tensor product of Hilbert spaces is being discussed. An alternative dual of a fusion frame in tensor product of Hilbert spaces is being presented.
arxiv   +1 more source

Introduction of frame in tensor product of n-Hilbert spaces [PDF]

Sahand Communications in Mathematical Analysis (SCMA), Vol. 18 No. 4 (2021),1-18, 2021
We study the concept of frame in tensor product of n-Hilbert spaces as tensor product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space. A relationship between frame and bounded linear operator in tensor product of n-Hilbert spaces is studied.
arxiv   +1 more source

Continuous frames in tensor product Hilbert spaces, localization operators and density operators [PDF]

, 2021
Continuous frames and tensor products are important topics in theoretical physics. This paper combines those concepts. We derive fundamental properties of continuous frames for tensor product of Hilbert spaces. This includes, for example, the consistency property, i.e.
arxiv   +1 more source

Continuous frames in n-Hilbert spaces and their tensor products [PDF]

Annals of the University of Craiova, Mathematics and Computer Science Series, 50 (1), 2023, 116-135, 2022
We introduce the notion of continuous frame in n-Hilbert space which is a generalization of discrete frame in n-Hilbert space. The tensor product of Hilbert spaces is a very important topic in mathematics. Here we also introduce the concept of continuous frame for the tensor products of n-Hilbert spaces.
arxiv   +1 more source

Interaction of Multiple Tensor Product Operators of the Same Type: an Introduction [PDF]

arXiv, 2021
Tensor product operators on finite dimensional Hilbert spaces are studied. The focus is on bilinear tensor product operators. A tensor product operator on a pair of Hilbert spaces is a maximally general bilinear operator into a target Hilbert space.
arxiv  

Introduction to Continuous biframes in Hilbert spaces and their tensor products [PDF]

arXiv, 2023
We introduce the notion of a continuous biframe in a Hilbert space which is a generalization of discrete biframe in Hilbert space. Representation theorem for this type of generalized frame is verified and some characterizations of this biframe with the help of a invertible operator is given.
arxiv  

Dynamical Representation of Frames in Tensor Product of Hardy Spaces [PDF]

arXiv, 2023
Dynamical Sampling of frames and tensor products are important topics in harmonic analysis. This paper combines the concepts of dynamical sampling of frames and the Carleson condition in the tensor product of Hardy spaces. Initially we discuss the preservation of the frame property under the tensor product on the Hilbert spaces.
arxiv  

Frames and bases in tensor products of Hilbert spaces and Hilbert C*-modules [PDF]

arXiv, 2007
In this article, we study tensor product of Hilbert $C^*$-modules and Hilbert spaces. We show that if $E$ is a Hilbert $A$-module and $F$ is a Hilbert $B$-module, then tensor product of frames (orthonormal bases) for $E$ and $F$ produce frames (orthonormal bases) for Hilbert $A\otimes B$-module $E\otimes F$, and we get more results.
arxiv  

Countable Tensor Products of Hermite Spaces and Spaces of Gaussian Kernels [PDF]

arXiv, 2021
In recent years finite tensor products of reproducing kernel Hilbert spaces (RKHSs) of Gaussian kernels on the one hand and of Hermite spaces on the other hand have been considered in tractability analysis of multivariate problems. In the present paper we study countably infinite tensor products for both types of spaces.
arxiv