Geodesic
On lattices and algebras of simple functions
Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 627-635 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 06F20, 28A20, 46A40 
@article{CMUC_1990_31_4_a2,
     author = {Abramovich, Yurij Aleksandrovich and Lipecki, Zbigniew},
     title = {On lattices and algebras of simple functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {627--635},
     year = {1990},
     volume = {31},
     number = {4},
     mrnumber = {1091360},
     zbl = {0759.46003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a2/}
}
TY  - JOUR
AU  - Abramovich, Yurij Aleksandrovich
AU  - Lipecki, Zbigniew
TI  - On lattices and algebras of simple functions
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1990
SP  - 627
EP  - 635
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a2/
LA  - en
ID  - CMUC_1990_31_4_a2
ER  - 
%0 Journal Article
%A Abramovich, Yurij Aleksandrovich
%A Lipecki, Zbigniew
%T On lattices and algebras of simple functions
%J Commentationes Mathematicae Universitatis Carolinae
%D 1990
%P 627-635
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a2/
%G en
%F CMUC_1990_31_4_a2
Abramovich, Yurij Aleksandrovich; Lipecki, Zbigniew. On lattices and algebras of simple functions. Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 627-635. http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a2/

[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. | MR | Zbl

[2] Bigard A., Keimel K., Wolfenstein S.: Groupes et anneaux réticulés. Lecture Notes in Math. 608, Springer-Verlag, Berlin - Heidelberg - New York, 1977. | MR | Zbl

[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. | MR | Zbl

[4] Bourbaki N.: Topologie générale. Ch. X, Hermann, Paris, 1961. | Zbl

[5] Constatinescu C., Weber K., Sontag A.: Integration Theory, vol. 1: Measure and Integral. John Wiley & Sons, New York, 1985. | MR

[6] Dierolf P., Dierolf S., Drewnowski L.: Remarks and examples concerning unordered Bairelike and ultra-barelled spaces. Colloq. Math. 39 (1978), 109-116. | MR

[7] Lipecki Z.: On some dense subspaces of topological linear spaces. Studia Math. 77 (1984), 413-421. | MR | Zbl

[8] Lipecki Z.: On common extensions of two quasi-measures. Czechoslovak Math. J. 36 (1986), 489-494. | MR | Zbl

[9] Loomis L. H.: An Introduction to Abstract Harmonic Analysis. D. van Nostrand Company, New York, 1953. | MR | Zbl

[10] Luxemburg W. A. J., Zaanen A. C.: Riesz Spaces I. North-Holland, Amsterdam - London, 1971.

[11] Rudin W.: Continuous functions on compact spaces without perfect subsets. Proc. Amer. Math. Soc. 8 (1957), 39-42. | MR | Zbl

[12] Schaefer H. H.: Banach Lattices and Positive Operators. Springer-Verlag, Berlin - Heidelberg - New York, 1974. | MR | Zbl

[13] Weber H.: Minimal ring topologies. preprint. | MR | Zbl