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arXiv · 1201.6481

Dual Spaces and Bilinear Forms in Supertropical Linear Algebra

Zur Izhakian·Manfred Knebusch·Louis Rowen
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Abstract

Continuing [5], this paper investigates finer points of supertropical vector spaces, including dual bases and bilinear forms, with supertropical versions of standard classical results such as the Gram-Schmidt theorem and Cauchy-Schwarz inequality, and change of base. We also present the supertropical version of quadratic forms, and see how they correspond to symmetric supertropical bilinear forms.

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Zur Izhakian, Manfred Knebusch, Louis Rowen. 2012-01-31. Dual Spaces and Bilinear Forms in Supertropical Linear Algebra. https://arxiv.org/abs/1201.6481

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