Arens Regularity and Cohomological Properties of Banach Lattice Algebra

Document Type : Research Paper

Authors

1 Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.

2 Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran

Abstract

A Banach lattice algebra is a Banach lattice, an associative algebra with a sub-multiplicative norm and the product of positive elements should be positive. In this note we study the Arens regularity and cohomological properties of Banach lattice algebras.

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References

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4. B.E. Johnson, Cohomology in Banach algebra, Mem. Amer. Math. Soc., 127, 1972.
5. A.T. Lau, A. Ulger, Topological center of certain dual algebras, Trans. Amer. Math. ¨ Soc., 348, 1191–1212 (1996).
6. A. W. Wickstead, Banach lattice algebras, some questions, but very few answers, Positivity, 1–13, (2015).
Global Analysis and Discrete Mathematics
Volume 4, Issue 1
December 2019
Pages 1-5

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History

  • Receive Date: 24 November 2018
  • Accept Date: 02 May 2019

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