Representation and duality of multiplication operators on archimedean Riesz spaces

A. W. Wickstead

Compositio Mathematica (1977)

  • Volume: 35, Issue: 3, page 225-238
  • ISSN: 0010-437X

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Wickstead, A. W.. "Representation and duality of multiplication operators on archimedean Riesz spaces." Compositio Mathematica 35.3 (1977): 225-238. <http://eudml.org/doc/89348>.

@article{Wickstead1977,
author = {Wickstead, A. W.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {225-238},
publisher = {Noordhoff International Publishing},
title = {Representation and duality of multiplication operators on archimedean Riesz spaces},
url = {http://eudml.org/doc/89348},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Wickstead, A. W.
TI - Representation and duality of multiplication operators on archimedean Riesz spaces
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 3
SP - 225
EP - 238
LA - eng
UR - http://eudml.org/doc/89348
ER -

References

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  1. [1] S.J. Bernau: Unique representation of Archimedean lattice groups and normal Archimedean lattice rings. Proc. London Math. Soc. (3) 15 (1965) 599-631. Zbl0134.10802MR182661
  2. [2] A. Bigard: Les orthomorphismes d'un espace réticulé Archimédien. Indag. Math.34 (1972) 236-246. Zbl0235.06008MR308000
  3. [3] A. Bigard and K. Keimel: Sur les endomorphismes conservant les polaires d'un groupe réticulé Archimédien. Bull. Soc. Math. France97 (1969) 381-398. Zbl0215.34203MR262137
  4. [4] R.C. Buck: Multiplication operators. Pacific J. Maths.11 (1961) 95-104. Zbl0102.32901MR123184
  5. [5] P.F. Conrad and J.E. Diem: The ring of polar preserving endomorphisms of an abelian lattice ordered group. Illinois J. Math.15 (1971) 224-240. Zbl0213.04002MR285462
  6. [6] J. Dixmier: Sur certains espaces considérés par M.H. Stone. Summa Bras. Math.2 (1951) 151-182. Zbl0045.38002MR48787
  7. [7] H.O. Flösser: Die Orthomorphismen einiger lokalkonvexer Vektorverbände. Preprint. 
  8. [8] D.H. Fremlin: Abstract Köthe spaces II. Proc. Cam. Phil. Soc.63 (1967) 951-956. Zbl0179.17005MR216272
  9. [9] A.C. Zaanen: Examples of Orthomorphisms. J. Approx. Thy.13 (1975) 192-204. Zbl0293.47010MR355527

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