A generalisation of a theorem of Koldunov with an elementary proof

Zafer Ercan

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 1, page 187-190
  • ISSN: 0011-4642

Abstract

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We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.

How to cite

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Ercan, Zafer. "A generalisation of a theorem of Koldunov with an elementary proof." Czechoslovak Mathematical Journal 49.1 (1999): 187-190. <http://eudml.org/doc/30476>.

@article{Ercan1999,
abstract = {We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.},
author = {Ercan, Zafer},
journal = {Czechoslovak Mathematical Journal},
keywords = {Riesz spaces (vector lattices); Hammerstein property and disjointness preserving operators; Riesz spaces (vector lattices); Hammerstein property; adjoint preserving operators; theorem of Koldunov},
language = {eng},
number = {1},
pages = {187-190},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalisation of a theorem of Koldunov with an elementary proof},
url = {http://eudml.org/doc/30476},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Ercan, Zafer
TI - A generalisation of a theorem of Koldunov with an elementary proof
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 1
SP - 187
EP - 190
AB - We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
LA - eng
KW - Riesz spaces (vector lattices); Hammerstein property and disjointness preserving operators; Riesz spaces (vector lattices); Hammerstein property; adjoint preserving operators; theorem of Koldunov
UR - http://eudml.org/doc/30476
ER -

References

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  1. Towards a theory of non-linear orthomorphisms, Functional Analysis and Economic Theory, Springer, 1998, pp. 65–73. (1998) MR1730120
  2. Hammerstein operators preserving disjointness, Proc. Amer. Math. Soc. 4 (1995), 1083–1095. (1995) Zbl0827.47051MR1212284
  3. Riesz Spaces  1, North-Holland, Amsterdam, 1971. (1971) 
  4. Banach Lattices, Springer Universitest., Berlin, 1992. (1992) MR1128093

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