On symmetric operators on Banach lattices and Arens regularity

Egon Scheffold

Czechoslovak Mathematical Journal (1998)

  • Volume: 48, Issue: 4, page 747-753
  • ISSN: 0011-4642

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Scheffold, Egon. "Über symmetrische Operatoren auf Banachverbänden und Arens-Regularität." Czechoslovak Mathematical Journal 48.4 (1998): 747-753. <http://eudml.org/doc/32439>.

@article{Scheffold1998,
author = {Scheffold, Egon},
journal = {Czechoslovak Mathematical Journal},
keywords = {Arens triadjoint; order-continuous bidual; Banach lattice algebra},
language = {ger},
number = {4},
pages = {747-753},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Über symmetrische Operatoren auf Banachverbänden und Arens-Regularität},
url = {http://eudml.org/doc/32439},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Scheffold, Egon
TI - Über symmetrische Operatoren auf Banachverbänden und Arens-Regularität
JO - Czechoslovak Mathematical Journal
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 4
SP - 747
EP - 753
LA - ger
KW - Arens triadjoint; order-continuous bidual; Banach lattice algebra
UR - http://eudml.org/doc/32439
ER -

References

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  1. The adjoint of a bilinear operation, Proc. A. M. S. 2 (1951), 839–848. (1951) Zbl0044.32601MR0045941
  2. Ordered Vector Spaces and Linear Operators, Ed. Academiei-Abacus Press, Kent, 1976. (1976) Zbl0322.46010MR0467238
  3. 10.1017/S0308210500017170, Proc. Roy. Soc. Edinburgh Sect. A 84 (1979), 309–325. (1979) MR0559675DOI10.1017/S0308210500017170
  4. Banach Lattices, Springer, Berlin-Heidelberg-New York, 1991. (1991) Zbl0743.46015MR1128093
  5. Banach Lattices and Positive Operators, Springer, Berlin-Heidelberg-New York, 1974. (1974) Zbl0296.47023MR0423039
  6. Über Bimorphismen und das Arens-Produkt bei kommutativen D -Banachverbandsalgebren, Rev. Roumaine Math. Pures Appl. 39 (1994), no. 3, 259–270. (1994) Zbl0832.46041MR1315492
  7. 10.1007/BF01202314, Arch. Math. 60 (1993), 473–477. (1993) MR1213518DOI10.1007/BF01202314
  8. Über die Arens-triadjungierte Abbildung von Bimorphismen, Rev. Roumaine Math. Pures Appl. 41 (1996), no. 9–10, 697–701. (1996) MR1647683
  9. Weakly compact bilinear forms and Arens regularity, Proc. A. M. S. 101 (1987), 697–704. (1987) MR0911036

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