Khurana Divya and Roy Saikat and Sain Debmalya: Symmetric points in spaces of linear operators between Banach spaces. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 617-634. (2020)
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Abstract
We explore the relation between left-symmetry (right-symmetry) of elements in a real Banach space and right-symmetry (left-symmetry) of their supporting functionals. We obtain a complete characterization of symmetric functionals on a reflexive, strictly convex and smooth Banach space. We also prove that a bounded linear operator from a reflexive, Kadets–Klee and strictly convex Banach space to any Banach space is symmetric if and only if it is the zero operator. We further characterize left-symmetric operators from ℓ n 1 , n ≥ 2, to any Banach space X. This improves a previously obtained characterization of left-symmetric operators from ℓ n 1 , n ≥ 2, to a reflexive smooth Banach space X.
| Item Type: | Article |
|---|---|
| Heading title: | Analysis |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2020 |
| Volume: | 86 |
| Number: | 3-4 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 617-634 |
| Language: | English |
| Related URLs: | http://acta.bibl.u-szeged.hu/73790/ |
| DOI: | 10.14232/actasm-020-420-6 |
| Uncontrolled Keywords: | Matematika |
| Additional Information: | Bibliogr.: p. 633-634. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 15. 14:26 |
| Last Modified: | 2021. Nov. 15. 14:26 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73907 |
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