On dilations and contractions in Riesz groups

Milan Jasem

Časopis pro pěstování matematiky (1990)

  • Volume: 115, Issue: 2, page 134-141
  • ISSN: 0528-2195

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Jasem, Milan. "On dilations and contractions in Riesz groups." Časopis pro pěstování matematiky 115.2 (1990): 134-141. <http://eudml.org/doc/19197>.

@article{Jasem1990,
author = {Jasem, Milan},
journal = {Časopis pro pěstování matematiky},
keywords = {isometry; dilation; contraction; Riesz group; direct decompositions; convex subsets},
language = {eng},
number = {2},
pages = {134-141},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On dilations and contractions in Riesz groups},
url = {http://eudml.org/doc/19197},
volume = {115},
year = {1990},
}

TY - JOUR
AU - Jasem, Milan
TI - On dilations and contractions in Riesz groups
JO - Časopis pro pěstování matematiky
PY - 1990
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 115
IS - 2
SP - 134
EP - 141
LA - eng
KW - isometry; dilation; contraction; Riesz group; direct decompositions; convex subsets
UR - http://eudml.org/doc/19197
ER -

References

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  1. Л. Фукс, Частично упорядоченные алгебраические системы, Москва 1965. (1965) Zbl1099.01519
  2. W. Charles Holland, Intrinsic metrics for lattice ordered groups, Algebra Universalis 19, 1984, 142-150. (1984) MR0758313
  3. Ján Jakubík, Isometries of lattice ordered groups, Czechoslovak Math. J. 30 (1980), 142-152. (1980) Zbl0436.06013MR0565917
  4. Ján Jakubík, On isometries of non-abelian lattice ordered groups, Math. Slovaca 31 (1981), 171-175. (1981) Zbl0457.06014MR0611629
  5. Ján Jakubík, Milan Kolibiar, Isometries of multilattice groups, Czechoslovak Math. J. 33 (1933), 602-612. (1933) Zbl0538.06018MR0721089
  6. Milan Jasem, Isometries in Riesz groups, Czechoslovak Math. J. 36 (1986), 35-43. (1986) Zbl0603.06007MR0822864
  7. Jiří Rachůnek, Isometries in ordered groups, Czechoslovak Math. J. 34 (1984), 334-341. (1984) Zbl0558.06020MR0743498
  8. K. L. Narashimha Swamy, Autometrized lattice ordered groups I, Math. Annalen 154 (1964), 406-412. (1964) MR0162867
  9. K. L. Narasimha Swamy, Isometries in autometrized lattice ordered groups, Algebra Universalis 8 (1978), 59-64. (1978) Zbl0409.06007MR0463074
  10. K. L. Narasimha Swamy, Isometries in autometrized lattice ordered groups II, Math. Seminar Notes Kobe Univ. 5 (1977), 211-214. (1977) Zbl0457.06015MR0463075
  11. Joan Trias, Lattice isometries in Riesz spaces, Preprint, Univ. Politecnica Barcelona, 1981. (1981) Zbl0515.06014
  12. Joan Trias Pairo, On generalized idempotents, lattice-dilations and contractions in f-rings, Algebra Universalis 16 (1983), 370-389. (1983) Zbl0514.06010MR0695057
  13. Joan Trias Pairo, Lattice-isometries in f-rings, Algebra and Order. Proc. First Internat. Symposium on Ordered Algebraic Structures Luming-Marseilles 1984, Heldermann Verlag Berlin 1986, 245-252. (1984) Zbl0514.06010MR0891467

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