Additive mappings preserving minimum and surjectivity moduli
Let X and Y be two infinite dimensional real or complex Banach spaces, and 4> : C(X) —> C(Y) be an additive surjective mapping. We show that if <j> preserves the minimum modulus or the surjectivity modulus, then either there exist two surjective linear or conjugate linear isometries U an...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
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| Sorozat: | Acta scientiarum mathematicarum
76 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16347 |
| Tartalmi kivonat: | Let X and Y be two infinite dimensional real or complex Banach spaces, and 4> : C(X) —> C(Y) be an additive surjective mapping. We show that if <j> preserves the minimum modulus or the surjectivity modulus, then either there exist two surjective linear or conjugate linear isometries U and V such that <j>(T) = UTV for all T, or there exist two surjective linear or conjugate linear isometries U' and V' such that <j>(T) = U'T*V' for all T. |
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| Terjedelem/Fizikai jellemzők: | 207-215 |
| ISSN: | 0001-6969 |