| Title:
|
Polarity on $C^\ast$-algebras (English) |
| Author:
|
Šmarda, Bohumil |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
133-142 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L05 |
| idZBL:
|
Zbl 0732.46038 |
| idMR:
|
MR1094769 |
| . |
| Date available:
|
2009-09-25T10:23:49Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128598 |
| . |
| Reference:
|
[1] ARCHBOLD R. J.: Prime C*-algebras and antilattices.Proc. London Math. Soc. (3) 24, 1972, 669-680. MR 0308794 |
| Reference:
|
[2] ARСHBOLD R. J.: Order and commutativity in C*-algebras.Proc. Сambridge Phil. Soc. 76, 1974, 153-155. MR 0348506 |
| Reference:
|
[3] AUBERT K. E.: Theory of x-ideals.Acta Math. Uppsala, 107, 1962, 1-51. Zbl 0108.26002, MR 0148773 |
| Reference:
|
[4] BIRKHOFF G.: Lattice Theory.Third Edition, Amer. Math. Soc., Providence, R. I. 1973. |
| Reference:
|
[5] СONRAD P. F.: Lattice-ordered Groups.Lecture Notes, Tulane Univ. 1970. |
| Reference:
|
[6] DIХMIER J.: Les C*-algébres et Leurs Représentations.Paris 1969. |
| Reference:
|
[7] EFFROS E.: Order ideals in a C*-algebra and its dual.Duke Math. J. 30, 1963, 391-412. MR 0151864 |
| Reference:
|
[8] JAFFARD P.: Сontribution á ľétude des groupes ordonnés.J. Math. pures appl. 32, 1953, No З, 203-280. MR 0057869 |
| Reference:
|
[9] JOHNSTONE P. T.: Stone spaces.Сambridge University Press, Сambridge 1982. Zbl 0499.54001, MR 0698074 |
| Reference:
|
[10] PASEKA J.: Regular and normal quantales.Arch. Math. (Brno), 22, No 4 1986, 203-210. Zbl 0612.06012, MR 0868535 |
| Reference:
|
[11] ROSIСKÝ J.: Multiplicative lattices and C*-algebras.(preprint). |
| Reference:
|
[12] ŠIK F.: Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe.Сzech. Math. J. 5 (80), 1955, 61-75. Zbl 0068.01502, MR 0073594 |
| Reference:
|
[13] ŠIK F.: A characterization of polarities whose lattices of polars is Boolean.Сzech. Math. J. 31 (106), 1981, 98-102. MR 0604117 |
| . |
