Property (gw) for tensor product and left-right multiplication operators
Given Banach spaces X and y and operators A G B(X) and B G B(y), property (gw) does not in general transfer from A and B to the tensor product operator A ® B G B(X®y) or to the elementary operator defined by A and B, TAB = LARB G B(B(Y, X)). In this article necessary and sufficient conditions ensuri...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 3-4 |
| Kulcsszavak: | Matematika, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16451 |
| Tartalmi kivonat: | Given Banach spaces X and y and operators A G B(X) and B G B(y), property (gw) does not in general transfer from A and B to the tensor product operator A ® B G B(X®y) or to the elementary operator defined by A and B, TAB = LARB G B(B(Y, X)). In this article necessary and sufficient conditions ensuring that property (gw) transfers from A and B to A ® B and to TAB will be given. |
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| Terjedelem/Fizikai jellemzők: | 589-607 |
| ISSN: | 0001-6969 |