Rao, T. S. S. R. K. (2017) On a theorem of Abatzoglou for operators on abstract L and M-spaces Journal of Mathematical Analysis and Applications, 453 (2). pp. 1000-1004. 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.2017.04.057
Abstract
Let X be an abstract L-space and let Y be any Banach space. Motivated by a classical result of T. J. Abatzoglou that describes smooth points of the space of operators on a Hilbert space, we give a characterization of very smooth points in the space of operators from X to Y. We also show that a similar result can be proved when Y is an abstract M-space such that the set of extreme points of the dual unit ball is a weak-compact set.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Abstract L-spaces; M-spaces; Very Smooth Points; Spaces of Operators. |
| ID Code: | 112404 |
| Deposited On: | 10 Jan 2018 04:35 |
| Last Modified: | 10 Jan 2018 10:47 |
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