Growth conditions on Cesàro means of higher order dedicated to the 100th anniversary of Professor Béla Szőkefalvi-Nagy /
New growth conditions on the Cesaro means of higher order are investigated for Banach space operators with peripheral spectrum reduced to {1}. Certain consequences concerning the powers of such operators are derived. The uniform and strong convergence of the differences of consecutive Cesaro means a...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2013
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| Sorozat: | Acta scientiarum mathematicarum
79 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/32908 |
| LEADER | 01908nab a2200229 i 4500 | ||
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| 001 | acta32908 | ||
| 005 | 20260306113344.0 | ||
| 008 | 161017s2013 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Suciu Laurian | |
| 245 | 1 | 0 | |a Growth conditions on Cesàro means of higher order |h [elektronikus dokumentum] : |b dedicated to the 100th anniversary of Professor Béla Szőkefalvi-Nagy / |c Suciu Laurian |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2013 | ||
| 300 | |a 545-581 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 79 No. 3-4 | |
| 520 | 3 | |a New growth conditions on the Cesaro means of higher order are investigated for Banach space operators with peripheral spectrum reduced to {1}. Certain consequences concerning the powers of such operators are derived. The uniform and strong convergence of the differences of consecutive Cesaro means are studied, and several examples are presented. These topics are related to the boundedness and convergence of Cesaro means of higher order, and also to Gelfand-Hille and Esterle-Katznelson-Tzafriri type theorems. In particular, if V denotes the classical Volterra operator, then our results provide a simultaneous conceptual proof showing that the operator I— V is Cesaro ergodic on LP(0,1) for 1 < p < oo, completing the known cases p = 1 and p = 2. Even every power of the latter operator is Cesaro ergodic, though the operator itself is not power-bounded if p fi 2. Analogous examples, with respect to uniform ergodicity, are given as well. We also obtain improvements on the general 1939 Lorch theorem, within the above spectral picture. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Zemánek Jaroslav |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/32908/1/math_079_numb_003_004_545-581.pdf |z Dokumentum-elérés |