arXiv subjects

Teck-Cheong Lim

Publications and source records attributed to Teck-Cheong Lim.

2 recordsLinked to original sources

arXiv2013

Geodesic paths in the finite dimensional unit sphere under sup norm

We characterize geodesic paths in the $n$-dimensional unit sphere under sup norm. A geodesic path between two points is a shortest curve joining the two points.

math.MG↗

arXiv2011

Dynamics of a compact operator

Let $T:X\to X$ be a compact linear (or more generally affine) operator from a Banach space into itself. For each $x\in X$, the sequence of iterates $T^nx, n=0,1,...$ and its averages $\frac{1}{k}\sum_{k=0}^nT^{k-1}x, n=0,1,...$ are either bounded or approach infinity.

math.DS↗