STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
P. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series.
Saved in:
| Main Author: | |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2006
|
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200001 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
oai:scielo:S0716-09172006000200001 |
|---|---|
| record_format |
ojs |
| spelling |
oai:scielo:S0716-091720060002000012006-08-24STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIESSWARTZ,CHARLESP. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.2 20062006-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200001en10.4067/S0716-09172006000200001 |
| institution |
SCIELO |
| collection |
OJS |
| country |
Chile |
| countrycode |
CL |
| component |
Revista |
| access |
En linea |
| databasecode |
rev-scielo-cl |
| tag |
revista |
| region |
America del Sur |
| libraryname |
SciELO |
| language |
English |
| format |
Digital |
| author |
SWARTZ,CHARLES |
| spellingShingle |
SWARTZ,CHARLES STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES |
| author_facet |
SWARTZ,CHARLES |
| author_sort |
SWARTZ,CHARLES |
| title |
STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES |
| title_short |
STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES |
| title_full |
STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES |
| title_fullStr |
STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES |
| title_full_unstemmed |
STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES |
| title_sort |
strong topologies for multiplier convergent series |
| description |
P. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series. |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2006 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200001 |
| work_keys_str_mv |
AT swartzcharles strongtopologiesformultiplierconvergentseries |
| _version_ |
1755990022289358848 |