| dc.contributor.author | Buskes, Gerard | |
| dc.contributor.author | Schwanke, Christopher | |
| dc.date.accessioned | 2017-04-05T10:09:30Z | |
| dc.date.available | 2017-04-05T10:09:30Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Buskes, G. & Schwanke, C. 2016. Functional completions of Archimedean vector lattices. Algebra universalis, 76(1):53-69. [https://doi.org/10.1007/s00012-016-0386-z] | en_US |
| dc.identifier.issn | 0002-5240 | |
| dc.identifier.issn | 1420-8911 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10394/21084 | |
| dc.identifier.uri | https://doi.org/10.1007/s00012-016-0386-z | |
| dc.identifier.uri | https://link.springer.com/article/10.1007%2Fs00012-016-0386-z | |
| dc.description.abstract | We study completions of Archimedean vector lattices relative to any nonempty set of positively homogeneous functions on finite-dimensional real vector spaces. Examples of such completions include square mean closed and geometric mean closed vector lattices, amongst others. These functional completions also lead to a universal definition of the complexification of any Archimedean vector lattice and a theory of tensor products and powers of complex vector lattices in a companion paper | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | Vector lattices | en_US |
| dc.subject | Functional calculus | en_US |
| dc.subject | Functional completions | en_US |
| dc.subject | Convex functions | en_US |
| dc.title | Functional completions of Archimedean vector lattices | en_US |
| dc.type | Article | en_US |
| dc.contributor.researchID | 27749266 - Schwanke, Christopher Michael | |
