| Title | SIMULTANEOUS FARTHEST POINTS AND NORM DERIVATIVES IN BANACH SPACES |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | IRANMANESH, M, SOLEIMANY, F |
| Volume | 22 |
| Issue | 2 |
| Start Page | 233 |
| Pagination | 12 |
| Date Published | 2018 |
| ISSN | 1083-2564 |
| AMS | 41A28, 46B28, 46L05 |
| Abstract | In this paper, we present various characterizations of the simultaneous farthest point of elements by bounded sets in normed spaces. First, we express short proofs for previous results. We did this work by using norm derivatives method. Then we extend to C∗- algebras some results on the simultaneous farthest point that found in B (H) the algebra of all bounded operators on a Hilbert space by applying of the concept of numerical rang and Gelfand-Naimark theorem. |
| URL | https://acadsol.eu/en/articles/22/2/6.pdf |
| DOI | 10.12732/caa.v22i2.6 |
| Refereed Designation | Refereed |
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