Linear maps that preserve semi-Fredholm operators acting on Banach spaces
We consider the linear maps ϕ: B(X) → B(Y ) that preserve the semi-Fredholm operators in both directions or the essential spectrum of an operator, where B(X) is the algebra of all bounded linear operators on an infinite-dimensional Banach space X. We describe some known results in the Hilbert space...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 1-2 |
| Kulcsszavak: | Banach tér, Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/55807 |
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| 100 | 1 | |a González Manuel | |
| 245 | 1 | 0 | |a Linear maps that preserve semi-Fredholm operators acting on Banach spaces |h [elektronikus dokumentum] / |c González Manuel |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2018 | ||
| 300 | |a 137-149 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 84 No. 1-2 | |
| 520 | 3 | |a We consider the linear maps ϕ: B(X) → B(Y ) that preserve the semi-Fredholm operators in both directions or the essential spectrum of an operator, where B(X) is the algebra of all bounded linear operators on an infinite-dimensional Banach space X. We describe some known results in the Hilbert space case, provide some basic results and examples in the general case, and state several open problems. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Banach tér, Matematika | ||
| 700 | 0 | 1 | |a Mbekhta Mostafa |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/55807/1/math_084_numb_001-002_137-149.pdf |z Dokumentum-elérés |