Very smooth points of spaces of operators
| dc.creator | Rao, T. S. S. R. K. | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:03:35Z | |
| dc.date.available | 2026-07-07T05:03:35Z | |
| dc.description | In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when the space of compact operators is an $M$-ideal in the space of bounded operators, a very smooth operator $T$ attains its norm at a unique vector $x$ (up to a constant multiple) and $T(x)$ is a very smooth point of the range space. We show that if for every equivalent norm on a Banach space, the dual unit ball has a very smooth point then the space has the Radon--Nikodým property. We give an example of a smooth Banach space without any very smooth points. | |
| dc.description | 12 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0312116 | |
| dc.identifier | http://arxiv.org/abs/math/0312116 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 1, February 2003, pp. 53-64 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69478 | |
| dc.subject | Functional Analysis | |
| dc.title | Very smooth points of spaces of operators | |
| dc.type | text |