New York Journal of Mathematics
Volume 9 (2003) 137-140


James T. Allis, Jr.

Subspaces of Lp for 0≦ p<1 that are admissible as kernels

Published: September 6, 2003
Keywords: L0, Lp, F-space, rigid, kernel
Subject: 46A, 46E

In Lp for 0≦ p<1, we classify a large collection of subspaces as admissible kernels, meaning that each subspace is the kernel of some continuous linear automorphism on Lp for 0≦ p<1. We then show that this result eliminates those subspaces as potential rigid subspaces.

Author information

Department of Mathematics, Elon University, Elon, NC 27244