Some convergence theorems for multipliers on commutative Banach algebras
Let A be a complex commutative semisimple Banach algebra and let T be a power bounded multiplier of A. This paper is concerned with finding necessary and sufficient conditions for the convergence of the sequence {T n a} (a ∈ A) in A. Some related problems are also discussed.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Banach-algebra, Matematikai konvergencia |
| doi: | 10.14232/actasm-017-291-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/56935 |
| Tartalmi kivonat: | Let A be a complex commutative semisimple Banach algebra and let T be a power bounded multiplier of A. This paper is concerned with finding necessary and sufficient conditions for the convergence of the sequence {T n a} (a ∈ A) in A. Some related problems are also discussed. |
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| Terjedelem/Fizikai jellemzők: | 673-685 |
| ISSN: | 0001-6969 |