2019/12/13 by Victoria Antonetti, Antonetti, Victoria, Maziar Farahzad +3 · 1 citation
Mathematics · #Fixed Point Theorems Analysis #Advanced Topology and Set Theory #Advanced Banach Space Theory
paper · pdf · doi:10.48550/arxiv.1912.06294
Smocked metric spaces were first defined in arXiv:1906.03403 and it was proved that if a norm on the Euclidean space uniformly estimates the pseudometric of a smocked metric space, then the tangent cone at infinity is unique and is a norm vector space with that estimating norm. In this paper, we explicitly calculate the norm approximating the pseudometric of the checkered smocked space and find the tangent cone at infinity.