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Article: On order continuous norms
| Title | On order continuous norms |
|---|---|
| Authors | |
| Keywords | normed vector lattices order continuous norms |
| Issue Date | 1999 |
| Publisher | American Mathematical Society. |
| Citation | American Mathematical Society Proceedings, 1999, v. 128 n. 7, p. 1971-1974 How to Cite? |
| Abstract | It is shown that a normed vector lattice (E; parallel to.parallel to) is order continuous if and only if, for every lattice norm rho on E with rho less than or equal to parallel to.parallel to, the parallel to.parallel to-topology and rho-topology coincide on every order interval of E. |
| Persistent Identifier | http://hdl.handle.net/10722/44901 |
| ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chung, SK | en_HK |
| dc.contributor.author | Leung, D | en_HK |
| dc.date.accessioned | 2007-10-30T06:13:01Z | - |
| dc.date.available | 2007-10-30T06:13:01Z | - |
| dc.date.issued | 1999 | en_HK |
| dc.identifier.citation | American Mathematical Society Proceedings, 1999, v. 128 n. 7, p. 1971-1974 | en_HK |
| dc.identifier.issn | 0002-9939 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/44901 | - |
| dc.description.abstract | It is shown that a normed vector lattice (E; parallel to.parallel to) is order continuous if and only if, for every lattice norm rho on E with rho less than or equal to parallel to.parallel to, the parallel to.parallel to-topology and rho-topology coincide on every order interval of E. | en_HK |
| dc.format.extent | 127268 bytes | - |
| dc.format.extent | 1753 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.format.mimetype | text/plain | - |
| dc.language | eng | en_HK |
| dc.publisher | American Mathematical Society. | en_HK |
| dc.rights | First published in American Mathematical Society Proceedings, 1999, v. 128 n. 7, p. 1971-1974, published by the American Mathematical Society, | en_HK |
| dc.subject | normed vector lattices | en_HK |
| dc.subject | order continuous norms | en_HK |
| dc.title | On order continuous norms | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0002-9939&volume=128&issue=7&spage=1971&epage=1974&date=1999&atitle=On+order+continuous+norms | en_HK |
| dc.description.nature | published_or_final_version | en_HK |
| dc.identifier.scopus | eid_2-s2.0-33746020192 | - |
| dc.identifier.issnl | 0002-9939 | - |