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Topologizing the Tensor product
1979In this thesis a general method is developed to provide the algebraic, discrete, tensor product of topological R-moduels with suitable topologies.
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Analysis of bounded sets in a topological tensor product
Proceedings of the Indian Academy of Sciences - Section A, 1972The aim of this paper is to investigate the nature of bounded sets in a topological ∈-tensor product EX∈* F of any two locally convex topological vector spaces E and F over the same scalar field K. Next, we apply the results of this investigation to the study of each of the following: (a) Totally summable families in EX∈*F; (b ...
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Parallel convolutional processing using an integrated photonic tensor core
Nature, 2021Johannes Feldmann, Nathan Youngblood
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The ideal structure on the topological tensor product of topological semigroups
Let \(S\), \(T\) be topological semigroups with identities, and \(\sigma\colon S\to T\) be a continuous homomorphism. The authors introduce the notion of topological tensor product of \(S\), \(T\) and \(\sigma\), denoted by \(S\otimes_\sigma T\) which is a topological semigroup satisfying a certain universality property.Medghalchi, A. R., Rahimi, H. R.
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Computing Some Topological Indices of Tensor Product of Graphs
2011A topological index of a molecular graph G is a numeric quantity related to G which is invariant under symmetry properties of G. In this paper we obtain the Randic, geometricarithmetic, first and second Zagreb indices , first and second Zagreb coindices of tensor product of two graphs and then the Harary, Schultz and modified Schultz indices of tensor ...
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Tensor lattice field theory for renormalization and quantum computing
Reviews of Modern Physics, 2022Yannick Meurice +2 more
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Third-order nonlinear Hall effect induced by the Berry-connection polarizability tensor
Nature Nanotechnology, 2021Shen Lai, Huiying Liu, Zhaowei Zhang
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Higher-dimensional processing using a photonic tensor core with continuous-time data
Nature Photonics, 2023Bowei Dong +2 more
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Measurement of the quantum geometric tensor and of the anomalous Hall drift
Nature, 2020Antonio Gianfrate +2 more
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Tensor Robust Principal Component Analysis with a New Tensor Nuclear Norm
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020Canyi Lu, Jiashi Feng, Yudong Chen
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