On isometric stability of complemented subspaces of L p |
| |
Authors: | Beata Randrianantoanina |
| |
Affiliation: | (1) Department of Mathematics and Statistics, Miami University, 45056 Oxford, OH, USA |
| |
Abstract: | We show that the Rudin-Plotkin isometry extension theorem inL pimplies that whenX andY are isometric subspaces ofL pandp is not an even integer, 1≤p<∞, thenX is complemented inL pif and only ifY is; moreover, the constants of complementation ofX andY are equal. We provide examples demonstrating that this fact fails whenp is an even integer larger than 2. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|