THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
We establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spaces
Saved in:
| Main Author: | |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2007
|
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
oai:scielo:S0716-09172007000300002 |
|---|---|
| record_format |
ojs |
| spelling |
oai:scielo:S0716-091720070003000022008-01-28THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACESSWARTZ,CHARLESWe establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spacesinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.3 20072007-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002en10.4067/S0716-09172007000300002 |
| 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 THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES |
| author_facet |
SWARTZ,CHARLES |
| author_sort |
SWARTZ,CHARLES |
| title |
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES |
| title_short |
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES |
| title_full |
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES |
| title_fullStr |
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES |
| title_full_unstemmed |
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES |
| title_sort |
uniform boundedness principle for arbitrary locally convex spaces |
| description |
We establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spaces |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2007 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300002 |
| work_keys_str_mv |
AT swartzcharles theuniformboundednessprincipleforarbitrarylocallyconvexspaces AT swartzcharles uniformboundednessprincipleforarbitrarylocallyconvexspaces |
| _version_ |
1755990025727639552 |