Results 1 to 10 of about 60,391 (204)

Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]

open access: greenSahand Communications in Mathematical Analysis, 2021
We study the concept of frame in tensor product of  $n$-Hilbert spaces as tensor product of  $n$-Hilbert spaces is again an  $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
doaj   +7 more sources

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

open access: greenProceedings Mathematical Sciences, 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 ...
Amir Khosravi, Behrooz Khosravi
core   +7 more sources

Continuous frames in n-Hilbert spaces and their tensor products

open access: bronzeAnnals of the University of Craiova Mathematics and Computer Science Series, 2023
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
Prasenjit Ghosh, T. K. Samanta
core   +5 more sources

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

open access: greenCreative Mathematics and Informatics, 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.
Prasenjit Ghosh, T. K. Samanta
core   +4 more sources

Atomic systems in n-Hilbert spaces and their tensor products

open access: green, 2021
Concept of a family of local atoms in n-Hilbert space is being studied. K-frame in tensor product of n-Hilbert spaces is described and a characterization is given.
Prasenjit Ghosh, T. K. Samanta
core   +5 more sources

WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]

open access: yesJournal of Algebraic Systems, 2020
‎‎The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions‎.
S. Afshar Jahanshahi, A. Ahmadi
doaj   +2 more sources

Detection of Interaction Effects in a Nonparametric Concurrent Regression Model [PDF]

open access: yesEntropy, 2023
Many methods have been developed to study nonparametric function-on-function regression models. Nevertheless, there is a lack of model selection approach to the regression function as a functional function with functional covariate inputs.
Rui Pan, Zhanfeng Wang, Yaohua Wu
doaj   +2 more sources

Numerical range of tensor product of operators in semi-Hilbert spaces

open access: hybridKuwait Journal of Science
Let A and B be two positive bounded linear operators acting on the complex Hilbert spaces H and K, respectively. In this paper, we study the (A⊗B)-numerical range WA⊗B(T⊗S) of the tensor product T⊗S for two bounded linear operators T and S on H and K ...
Najla Altwaijry   +3 more
doaj   +2 more sources

Quantum mereology in finite quantum mechanics

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2021
Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems.
Vladimir V. Kornyak
doaj   +1 more source

Wormholes, geons, and the illusion of the tensor product

open access: yesJournal of High Energy Physics, 2023
In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces.
Adam Bzowski
doaj   +1 more source

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