On convergence of sections of sequences in Banach spaces
dc.contributor.author | Aywa, Shem. | |
dc.contributor.author | Fourie, Jan H. | |
dc.date.accessioned | 2019-05-06T13:20:16Z | |
dc.date.available | 2019-05-06T13:20:16Z | |
dc.date.issued | 2000-02-01 | |
dc.identifier.uri | http://erepository.kibu.ac.ke/handle/123456789/855 | |
dc.description.abstract | An elementary proof of the (known) fact that each element of the Banach spaceℓ w p (X) of weakly absolutelyp-summable sequences (if 1≤p<∞) in the Banach spaceX is the norm limit of its sections if and only if each element ofℓ w p (X) is a norm null sequence inX, is given. Little modification to this proof leads to a similar result for a family of Orlicz sequence spaces. Some applications to spaces of compact operators on Banach sequence spaces are considered. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer-verlag | en_US |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
dc.subject | Weak-sequences | en_US |
dc.subject | Orlicz sequence spaces | en_US |
dc.subject | Compact operators | en_US |
dc.title | On convergence of sections of sequences in Banach spaces | en_US |
dc.type | Article | en_US |