Sain, Debmalya (2019) Smoothness and norm attainment of bounded bilinear operators between Banach spaces. In: LINEAR & MULTILINEAR ALGEBRA .
Full text not available from this repository.Abstract
We study the smoothness and the norm attainment of bounded bilinear operators between Banach spaces, using the concepts of Birkhoff-James orthogonality and semi-inner-products. In the finite-dimensional case, we characterize Birkhoff-James orthogonality of bilinear operators in terms of the norm attainment set. This yields a nice characterization of smoothness of bilinear operators between Banach spaces, in the finite-dimensional case. Without any restriction on the dimension of the space, we obtain a complete characterization of the norm attainment set of a bounded bilinear operator using semi-inner-products, which is particularly useful when the concerned Banach spaces are smooth.
| Item Type: | Journal Article |
|---|---|
| Publication: | LINEAR & MULTILINEAR ALGEBRA |
| Publisher: | TAYLOR & FRANCIS LTD |
| Additional Information: | Copyright of this article belongs to TAYLOR & FRANCIS LTD |
| Keywords: | Bilinear operators; smoothness; norm attainment |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 05 Feb 2020 10:34 |
| Last Modified: | 05 Feb 2020 10:34 |
| URI: | http://eprints.iisc.ac.in/id/eprint/64245 |
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