| Title:
|
The dual space of a totally ordered abelian group (English) |
| Author:
|
Redfield, R. H. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1987 |
| Pages:
|
613-627 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0645.06007 |
| idMR:
|
MR913994 |
| DOI:
|
10.21136/CMJ.1987.102189 |
| . |
| Date available:
|
2008-06-09T15:18:34Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102189 |
| . |
| Reference:
|
[1] С D. Aliprantis O. Burkinshaw: Locally Solid Riesz Spaces.Academic Press, New York, 1978. MR 0493242 |
| Reference:
|
[2] B. Banaschewski: Totalgeordnete moduln.Arch. Math. 7 (1956), 430-440. MR 0087650, 10.1007/BF01899022 |
| Reference:
|
[3] G. Birkhoff: Lattice Theory.Arner. Math. Soc. Coll. Pub. 25, third (new) edition. Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[4] L. Fuchs: Partially Ordered Algebraic Systems.Pergamon Press, Oxford, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[5] H. Hahn: Über die nichtarchimedischen Grossensysteme.S.-В. Wiener Akad. Math.-Nat. Klasse Abt. II a, 116 (1907), 601-653. |
| Reference:
|
[6] J. L. Kelley: General Topology.Graduate Texts in Mathematics 27, Springer-Verlag, New York, reprint of D. Van Nostrand Co. edition, 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
|
[7] J. L. Kelley I. Namioka, etc.: Linear Topological Spaces.D. Van Nostrand Co., Inc., Princeton, 1963. MR 0166578 |
| Reference:
|
[8] J. B. Miller: The order-dual of a TRL group I.J. Australian Math. Soc. 25 (Series A) (1978), 129-141. Zbl 0381.06023, MR 0499354, 10.1017/S1446788700038714 |
| Reference:
|
[9] R.H. Redfield: Dual spaces of ordered groups.Algebra and Order, Helderman Verlag, Berlin, 1986, 95-103. Zbl 0609.06013, MR 0891452 |
| Reference:
|
[10] R. H. Redfiled: Dual spaces of totally ordered rings.to appear. |
| Reference:
|
[11] H. H. Schaefer: Banach Lattices and Positive Operators.Die Grundlehren der mathematischen Wissenschaften, 215, Springer-Verlag, New York, 1974. Zbl 0296.47023, MR 0423039 |
| . |
