Symmetric points in spaces of linear operators between Banach spaces
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...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-420-6 |
| Online Access: | http://acta.bibl.u-szeged.hu/73907 |
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| 008 | 211115s2020 hu o 000 eng d | ||
| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-020-420-6 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Khurana Divya | |
| 245 | 1 | 0 | |a Symmetric points in spaces of linear operators between Banach spaces |h [elektronikus dokumentum] / |c Khurana Divya |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2020 | ||
| 300 | |a 617-634 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 86 No. 3-4 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Roy Saikat |e aut |
| 700 | 0 | 1 | |a Sain Debmalya |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73907/1/math_086_numb_003-004_617-634.pdf |z Dokumentum-elérés |