| Title:
|
On lattices and algebras of simple functions (English) |
| Author:
|
Abramovich, Yurij Aleksandrovich |
| Author:
|
Lipecki, Zbigniew |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
627-635 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| MSC:
|
28A20 |
| MSC:
|
46A40 |
| idZBL:
|
Zbl 0759.46003 |
| idMR:
|
MR1091360 |
| . |
| Date available:
|
2008-06-05T21:45:41Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106898 |
| . |
| Reference:
|
[1] Abramovich Y. A., Lipecki Z.: On ideals and sublattices in linear lattices and F-lattices.Math. Proc. Cambridge Philos. Soc. 108 (1990), 79-87. Zbl 0751.46009, MR 1049761 |
| Reference:
|
[2] Bigard A., Keimel K., Wolfenstein S.: Groupes et anneaux réticulés.Lecture Notes in Math. 608, Springer-Verlag, Berlin - Heidelberg - New York, 1977. Zbl 0384.06022, MR 0552653 |
| Reference:
|
[3] Bogdanowicz W. M.: Measurability and linear lattices of real functions closed under convergence everywhere.Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 20 (1972), 981-986. Zbl 0243.28009, MR 0313776 |
| Reference:
|
[4] Bourbaki N.: Topologie générale.Ch. X, Hermann, Paris, 1961. Zbl 0139.15904 |
| Reference:
|
[5] Constatinescu C., Weber K., Sontag A.: Integration Theory, vol. 1: Measure and Integral.John Wiley & Sons, New York, 1985. MR 0807147 |
| Reference:
|
[6] Dierolf P., Dierolf S., Drewnowski L.: Remarks and examples concerning unordered Bairelike and ultra-barelled spaces.Colloq. Math. 39 (1978), 109-116. MR 0507270 |
| Reference:
|
[7] Lipecki Z.: On some dense subspaces of topological linear spaces.Studia Math. 77 (1984), 413-421. Zbl 0552.46002, MR 0751762 |
| Reference:
|
[8] Lipecki Z.: On common extensions of two quasi-measures.Czechoslovak Math. J. 36 (1986), 489-494. Zbl 0622.28007, MR 0847776 |
| Reference:
|
[9] Loomis L. H.: An Introduction to Abstract Harmonic Analysis.D. van Nostrand Company, New York, 1953. Zbl 0052.11701, MR 0054173 |
| Reference:
|
[10] Luxemburg W. A. J., Zaanen A. C.: Riesz Spaces I.North-Holland, Amsterdam - London, 1971. |
| Reference:
|
[11] Rudin W.: Continuous functions on compact spaces without perfect subsets.Proc. Amer. Math. Soc. 8 (1957), 39-42. Zbl 0077.31103, MR 0085475 |
| Reference:
|
[12] Schaefer H. H.: Banach Lattices and Positive Operators.Springer-Verlag, Berlin - Heidelberg - New York, 1974. Zbl 0296.47023, MR 0423039 |
| Reference:
|
[13] Weber H.: Minimal ring topologies.preprint. Zbl 0861.12005, MR 1302760 |
| . |
