Tensor products of Banach Spaces are studied. An introduction to tensor products is given. Some results concerning the reciprocal Dunford-Pettis Property due to Emmanuele are presented. Pelczyriski's property (V) and (V)-sets are studied. It will be shown that if X and Y are Banach spaces with property (V) and every integral operator from X into Y* is compact, then the (V)-subsets of (X⊗F)* are weak* sequentially compact. This in turn will be used to prove some stronger convergence results for (V)-subsets of C(Ω,X)*.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc278580 |
| Date | 08 1900 |
| Creators | Ochoa, James Philip |
| Contributors | Lewis, Paul Weldon, Bator, Elizabeth M., Bilyeu, Russell Gene |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 72 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Ochoa, James Philip |
Page generated in 0.0023 seconds