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Closed graph and open mapping theorems for normed cones
| Content Provider | Semantic Scholar |
|---|---|
| Author | Valero, Oscar |
| Copyright Year | 2008 |
| Abstract | A quasi-normed cone is a pair (X, p) such that X is a (not necessarily cancellative) cone and q is a quasi-norm on X. The aim of this paper is to prove a closed graph and an open mapping type theorem for quasi-normed cones. This is done with the help of appropriate notions of completeness, continuity and openness that arise in a natural way from the setting of bitopological spaces. |
| Starting Page | 245 |
| Ending Page | 254 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s12044-008-0017-5 |
| Volume Number | 118 |
| Alternate Webpage(s) | https://www.researchgate.net/profile/O_Valero/publication/225788115_Closed_graph_and_open_mapping_theorems_for_normed_cones/links/02e7e52304564a7517000000.pdf?origin=publication_list |
| Alternate Webpage(s) | https://doi.org/10.1007/s12044-008-0017-5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |