Results 1 to 10 of about 23,939 (257)
Concrete Operators, 2023 Given Banach space operators Si{S}_{i} and Ti{T}_{i}, i=1,2i=1,2, we use elementary properties of the left and right multiplication operators to prove, that if the tensor products pair (S1⊗S2,T1⊗T2)\left({S}_{1}\otimes {S}_{2},{T}_{1}\otimes {T}_{2}) is ...
Duggal Bhagawati Prashad, Kim In Hyoun
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Multidimensional Arrays, Indices and Kronecker Products
Econometrics, 2021 Much of the algebra that is associated with the Kronecker product of matrices has been rendered in the conventional notation of matrix algebra, which conceals the essential structures of the objects of the analysis.
D. Stephen G. Pollock
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The dual of the space of bounded operators on a Banach space
Concrete Operators, 2021 Given Banach spaces X and Y, we ask about the dual space of the (X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of
Botelho Fernanda, Fleming Richard J.
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Information, 2022 In embedded electronic system applications being developed today, complex datasets are required to be obtained, processed, and communicated. These can be from various sources such as environmental sensors, still image cameras, and video cameras.
Ian Andrew Grout, Lenore Mullin
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The complexity of computing Kronecker coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Kronecker coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the symmetric group $S_n$. They can also be interpreted as the coefficients of the expansion of the internal product of two Schur ...
Peter Bürgisser, Christian Ikenmeyer
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A new approach to tensor product of hypermodules [PDF]
Categories and General Algebraic Structures with Applications, 2022 As an essential tool in homological algebra, tensor products play a basic role in classifying and studying modules. Since hypermodules are generalization of modules, it is important to generalize the concept of the tensor products of modules to the ...
Seyed Shahin Mousavi
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Inverses and Determinants of n × n Block Matrices
Mathematics, 2023 Block matrices play an important role in all branches of pure and applied mathematics. In this paper, we study the two fundamental concepts: inverses and determinants of general n×n block matrices.
Müge Saadetoğlu, Şakir Mehmet Dinsev
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The non-abelian tensor product of normal crossed submodules of groups [PDF]
Categories and General Algebraic Structures with Applications, 2020 In this article, the notions of non-abelian tensor and exterior products of two normal crossed submodules of a given crossed module of groups are introduced and some of their basic properties are established.
Alireza Salemkar, Tahereh Fakhr Taha
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Stabilizing tensor products [PDF]
Proceedings of the American Mathematical Society, 1975 Let C C be a symmetric monoidal category with a suspension, and let SC be the resulting stable category. We shall give necessary and sufficient conditions for extending the symmetric monoidal structure to a monoidal structure on SC. These imply that the usual smash product on finite pointed CW complexes cannot be extended to a smash ...
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Journal of Pure and Applied Algebra, 2009 Let \(A=A_1\oplus\cdots\oplus A_r\) be a decomposition of the associative algebra \(A\) as a direct sum of its vector subspaces \(A_i\). This decomposition is regular if for any choice of the indices \(i_j\) one has \(A_{i_1}\cdots A_{i_n}\neq 0\), and furthermore for every \(i\) and \(j\) and every \(x_i\in A_i\), \(x_j\in A_j\) one has \(x_ix_j ...
Bahturin, Yuri, Regev, Amitai
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