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Linear Algebra and its Applications
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Linear Algebra and its Applications
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Multiplicative preservers and induced operators

Authors: Chi-Kwong Li; Wai-Shun Cheung; M. Antónia Duffner;

Multiplicative preservers and induced operators

Abstract

The study of symmetry classes of tensors is motivated by many branches of pure and applied mathematics, combinatorial theory, matrix theory, operator theory, group representation theory, differential geometry, partial differential equations, quantum mechanics and other areas. The induced operator is useful in the study of symmetry classes of tensors. The authors present some preliminaries in Section 2, and prove their multiplicative preserver results in Sections 3 and 4.

Keywords

Numerical Analysis, Algebra and Number Theory, symmetry class of tensors, Linear transformations, semilinear transformations, multiplicative operator, induced operator, Induced operator, Multilinear algebra, tensor calculus, Discrete Mathematics and Combinatorics, Geometry and Topology, Symmetry class of tensors, Multiplicative operator, multiplicative preserver

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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