호남수학학술지 (Honam Mathematical Journal)

  • 제42권1호
  • /
  • Pages.37-48
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  • 2020
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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AMENABILITY PROPERTIES OF TσA,σB

  • Behnamian, Sara (Department of Mathematics, Science and Research Branch, Islamic Azad University) ;
  • Mahmoodi, Amin (Central Tehran Branch, Islamic Azad University)
  • 투고 : 2019.03.28
  • 심사 : 2019.10.10
  • 발행 : 2020.03.25
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초록

We first define a new multiplication on triangular Banach algebras. Then we study amenability, weak amenability, biflatness and biprojectivity of these algebras.

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참고문헌

  1. B. E. Forrest and L. W. Marcoux, Weak amenability of triangular Banach algebras, Trans, Amer. Soc., 354 (4) (2002), 1435-1452.
  2. A. Ya. Helemeskii, The homology of Banach and topological algebras, Kluwer, Academic pross, Dordecht. (1989).
  3. A. R. Medghalchi, M. H. Sattari and T. Yazdanpanah, Amenability and weak amenability of triangular Banach algebras, Bull. Iran. Math. Soc., 31 (2) (2005), 57-69.
  4. A. R. Medghalchi, M. H. Sattari, Biflatness and biprojectivity of triangular Banach algebras, Bull. Iran. Math. Soc. 34 (2) (2008), 115-120.