| dc.contributor.author | Zeekoei, Elroy D. | |
| dc.contributor.author | Fourie, Jan H. | |
| dc.date.accessioned | 2017-10-30T13:53:32Z | |
| dc.date.available | 2017-10-30T13:53:32Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Zeekoei, E.D. & Fourie, J.H. 2018. On p-convergent operators on Banach lattices. Acta mathematica Sinica, 34(5):873-890. [https://doi.org/10.1007/s10114-017-7172-5] | en_US |
| dc.identifier.issn | 1439-8516 | |
| dc.identifier.issn | 1439-7617 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10394/25964 | |
| dc.identifier.uri | https://doi.org/10.1007/s10114-017-7172-5 | |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s10114-017-7172-5 | |
| dc.description.abstract | The notion of a p-convergent operator on a Banach space was originally introduced in 1993 by Castillo and Sánchez in the paper entitled “Dunford–Pettis-like properties of continuous vector function spaces”. In the present paper we consider the p-convergent operators on Banach lattices, prove some domination properties of the same and consider their applications (together with the notion of a weak p-convergent operator, which we introduce in the present paper) to a study of the Schur property of order p. Also, the notion of a disjoint p-convergent operator on Banach lattices is introduced, studied and its applications to a study of the positive Schur property of order p are considered | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | P-convergent operator | en_US |
| dc.subject | Disjoint p-convergent operator | en_US |
| dc.subject | Weak p-convergent operator | en_US |
| dc.subject | Schur property of order p | en_US |
| dc.subject | Positive Schur property of order p | en_US |
| dc.title | On p-convergent operators on Banach lattices | en_US |
| dc.type | Article | en_US |
| dc.contributor.researchID | 20485379 - Zeekoei, Elroy Denovanne | |
| dc.contributor.researchID | 10184406 - Fourie, Jan Hendrik | |
