Polarity on C * -algebras

Bohumil Šmarda

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 2, page 133-142
  • ISSN: 0139-9918

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Šmarda, Bohumil. "Polarity on $C^\ast $-algebras." Mathematica Slovaca 40.2 (1990): 133-142. <http://eudml.org/doc/31528>.

@article{Šmarda1990,
author = {Šmarda, Bohumil},
journal = {Mathematica Slovaca},
keywords = {polarity on a -algebra; set of all polars; complete Boolean algebra; polars are closed ideals},
language = {eng},
number = {2},
pages = {133-142},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Polarity on $C^\ast $-algebras},
url = {http://eudml.org/doc/31528},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Šmarda, Bohumil
TI - Polarity on $C^\ast $-algebras
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 2
SP - 133
EP - 142
LA - eng
KW - polarity on a -algebra; set of all polars; complete Boolean algebra; polars are closed ideals
UR - http://eudml.org/doc/31528
ER -

References

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  1. ARCHBOLD R. J., Prime C*-algebras and antilattices, Proc. London Math. Soc. (3) 24, 1972, 669-680. (1972) MR0308794
  2. ARСHBOLD R. J., Order and commutativity in C*-algebras, Proc. Сambridge Phil. Soc. 76, 1974, 153-155. (1974) MR0348506
  3. AUBERT K. E., Theory of x-ideals, Acta Math. Uppsala, 107, 1962, 1-51. (1962) Zbl0108.26002MR0148773
  4. BIRKHOFF G., Lattice Theory, Third Edition, Amer. Math. Soc., Providence, R. I. 1973. (1973) 
  5. СONRAD P. F., Lattice-ordered Groups, Lecture Notes, Tulane Univ. 1970. (1970) 
  6. DIХMIER J., Les C*-algébres et Leurs Représentations, Paris 1969. (1969) 
  7. EFFROS E., Order ideals in a C*-algebra and its dual, Duke Math. J. 30, 1963, 391-412. (1963) MR0151864
  8. JAFFARD P., Сontribution á ľétude des groupes ordonnés, J. Math. pures appl. 32, 1953, No З, 203-280. (1953) MR0057869
  9. JOHNSTONE P. T., Stone spaces, Сambridge University Press, Сambridge 1982. (1982) Zbl0499.54001MR0698074
  10. PASEKA J., Regular and normal quantales, Arch. Math. (Brno), 22, No 4 1986, 203-210. (1986) Zbl0612.06012MR0868535
  11. ROSIСKÝ J., Multiplicative lattices and C*-algebras, (preprint). 
  12. ŠIK F., Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe, Сzech. Math. J. 5 (80), 1955, 61-75. (1955) Zbl0068.01502MR0073594
  13. ŠIK F., A characterization of polarities whose lattices of polars is Boolean, Сzech. Math. J. 31 (106), 1981, 98-102. (1981) MR0604117

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