Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899850 | Journal of Mathematical Analysis and Applications | 2018 | 6 Pages |
Abstract
The main result of this short note is that a (non-separable) Banach space is a Gurariy space if and only if every separable almost isometric ideal in X is isometric to the separable Gurariy space G. We also obtain a similar characterization of L1-predual spaces in terms of ideals. Along the way, we show that the family of ideals/almost isometric ideals in a Banach space is closed under increasing limits. And hence, the family of all separable ideals/almost isometric ideals in a Banach space is a skeleton.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pradipta Bandyopadhyay, S. Dutta, A. Sensarma,