Results 181 to 190 of about 64,232 (230)

Tensor product of the octonionic Hilbert spaces and colour confinement

Journal of Physics A: Mathematical and General, 1978
The definition of the tensor product of the octonionic Hilbert spaces with complex geometry is proposed. This definition is based on the isomorphism (geometric and algebraic) of the octonionic Hilbert space with appropriate structure. It is found that the algebraic colour confinement holds only partially.
J. Rembieliński
semanticscholar   +3 more sources

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Scalable frames in Tensor Product Of Hilbert Spaces

, 2020
‎Tight frames are very similar to orthonormal bases and can be used as a good alternative to them‎. ‎Scaling frames are introduced as a method to transform a general frame to a tight one‎. ‎This paper investigates in under what conditions the tensor product of two frames is a scalable frame‎.
Samineh Zakeri, A. Ahmadi
semanticscholar   +2 more sources

Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces

Journal of Dynamical Systems and Geometric Theories, 2009
Abstract The tensor product of frames in Hilbert spaces is introduced. It was shown that the tensor product of two frames is a frame for the tensor product of Hilbert spaces. The concept of tensor frame operator on tensor product of Hilbert space is given and results of it are presented.
G. Reddy, N. G. Reddy, B. K. Reddy
semanticscholar   +2 more sources

Hilbert-Schmidt frames and Riesz bases with respect to tensor product of Hilbert spaces

Analysis Mathematica
Jyoti, L. K. Vashisht
semanticscholar   +3 more sources

ON THE THEORY OF SINGULAR EXPANSION IN A TENSOR PRODUCT OF HILBERT SPACES

Russian Academy of Sciences. Sbornik Mathematics, 1995
Summary: Considered is the approximation of an element of the tensor product of two Hilbert spaces by the sum of products of elements of each of these spaces. The existence of a best approximation and the convergence of a bilinear series is shown. An explicit representation of the best approximation is obtained. As a corollary analogous results for the
V. V. Pospelov
semanticscholar   +2 more sources

Continuous tensor products of hilbert spaces and generalized random fields

Il Nuovo Cimento B Series 10, 1968
The infinite tensor product is generalized to a tensor product of certain Hilbert spaces over a topological index set. The criterion for positivity of characteristic functionals of generalized random processes is used to construct two distinct types of continuous tensor products.
R. Streater, A. Wulfsohn
semanticscholar   +2 more sources

Analysis of Variance of Tensor Product Reproducing Kernel Hilbert Spaces on Metric Spaces

Journal of the American Statistical Association
Many methods have been developed to analyze complex data, such as non-Euclidean shape, network, and manifold data. However, there is a lack of methods for studying interactions among complex data. In this article, we first propose a novel kernel function
Zhanfeng Wang, Rui Pan, Xueqin Wang, Yuedong Wang   +3 more
semanticscholar   +2 more sources

On weak convergence in an infinite tensor product of Hilbert spaces

Theoretical and Mathematical Physics, 1971
I. Burban
semanticscholar   +2 more sources

Tensor Products of Hilbert Spaces [PDF]

, 2016
Rüßmann, Robin
openaire   +2 more sources

Representations of C*-correspondences on pairs of Hilbert spaces

Journal of operator theory, 2022
We study representations of Hilbert bimodules on pairs of Hilbert spaces. If $A$ is a C*-algebra and $\mathsf{X}$ is a right Hilbert $A$-module, we use such representations to faithfully represent the C*-algebras $\mathcal{K}_A(\mathsf{X})$ and $\mathcal{
Alonso Delf'in
semanticscholar   +1 more source