A note on Riesz spaces with property- b

Ş. Alpay; B. Altin; C. Tonyali

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 765-772
  • ISSN: 0011-4642

Abstract

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We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.

How to cite

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Alpay, Ş., Altin, B., and Tonyali, C.. "A note on Riesz spaces with property-$b$." Czechoslovak Mathematical Journal 56.2 (2006): 765-772. <http://eudml.org/doc/31065>.

@article{Alpay2006,
abstract = {We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.},
author = {Alpay, Ş., Altin, B., Tonyali, C.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Riesz spaces; Banach lattices; $b$-property; Riesz spaces; Banach lattices; -property},
language = {eng},
number = {2},
pages = {765-772},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on Riesz spaces with property-$b$},
url = {http://eudml.org/doc/31065},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Alpay, Ş.
AU - Altin, B.
AU - Tonyali, C.
TI - A note on Riesz spaces with property-$b$
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 765
EP - 772
AB - We study an order boundedness property in Riesz spaces and investigate Riesz spaces and Banach lattices enjoying this property.
LA - eng
KW - Riesz spaces; Banach lattices; $b$-property; Riesz spaces; Banach lattices; -property
UR - http://eudml.org/doc/31065
ER -

References

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  1. 10.1023/A:1025840528211, Positivity 7 (2003), 135–139. (2003) MR2028377DOI10.1023/A:1025840528211
  2. Riesz spaces II, North-Holland, 1983. (1983) Zbl0519.46001MR0704021
  3. Positive Operators, Academic Press, 1985. (1985) MR0809372
  4. 10.1017/S0004972700043835, Bull. Austral. Math. Soc. 11 (1974), 231–254. (1974) Zbl0286.46015MR0367617DOI10.1017/S0004972700043835
  5. Banach Lattices and Positive Operators, Springer, 1974. (1974) Zbl0296.47023MR0423039
  6. 10.1007/s000130050517, Arch. Math. 75 (2000), 370–375. (2000) MR1785445DOI10.1007/s000130050517

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