✦ LIBER ✦
Property (quasi-α) and the denseness of norm attaining mappings
✍ Scribed by Yun Sung Choi; Hyun Gwi Song
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 170 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We introduce property (quasi ‐α), which implies property (A) defined by Lindenstrauss [10] and whose dual property is property (quasi‐β) [2]. We consider relations between this property and other sufficient conditions for property (A), and study the denseness of norm attaining mappings under the conditions of these properties. In particular, if each of the Banach spaces X~k~ , 1 ≤ k ≤ n – 1, has property (quasi‐α) and X~n~ has property (A), then the projective tensor product X~1~ ··· X~n~ has property (A). (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)