Rao, T. S. S. R. K. (2009) Three-space problem for some classes of L1-preduals Journal of Mathematical Analysis and Applications, 351 (1). pp. 311-314. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jmaa.2008.10.024
Abstract
Following the well-known classification scheme of function spaces whose duals are isometric to L1(μ ), due to Lindenstrauss, Wulbert and Olsen [J. Lindenstrauss, D.E. Wulbert, On the classification of the Banach spaces whose duals are L1 spaces, J. Funct. Anal. 4 (1969) 332-349; G.H. Olsen, On the classification of complex Lindenstrauss spaces, Math. Scand. 35 (1974) 237-258], in this paper we study the three-space problem for them. We investigate conditions so that a Banach space E is in a specific class if for some M-ideal M⊂ E, both M and E|M are in that class of function spaces from the classification scheme.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | L1-preduals; M-ideals; Three-space Problem |
| ID Code: | 64780 |
| Deposited On: | 14 Oct 2011 06:49 |
| Last Modified: | 14 Oct 2011 06:49 |
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