Dual Spaces and Bilinear Forms in Supertropical Linear Algebra
Commutative Algebra
2012-02-01 v1 Rings and Algebras
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.
Cite
@article{arxiv.1201.6481,
title = {Dual Spaces and Bilinear Forms in Supertropical Linear Algebra},
author = {Zur Izhakian and Manfred Knebusch and Louis Rowen},
journal= {arXiv preprint arXiv:1201.6481},
year = {2012}
}
Comments
13 pages