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Character amenability for a Banach module

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For a Banach algebra A and a Banach A-bimodule E, we in- troduce and study the concepts of △-Φ-amenability and △-Φ-contractibility of the Banach bimodule E, where Φ is a homomorphism from A into C and △ : E-> A is a bounded Banach A-bimodule homomorphism.

Abstract

For a Banach algebra A and a Banach A-bimodule E, we in- troduce and study the concepts of △-Φ-amenability and △-Φ-contractibility of the Banach bimodule E, where Φ is a homomorphism from A into C and △ : E-> A is a bounded Banach A-bimodule homomorphism.

참고문헌 (10)

  1. A. Bodaghi, "Module character amenability of Banach algebras", Arch. Math, 99, pp.353~365 (2012)
  2. R. S. Doran, "Approximate identities and factorization in Banach modules", Lecture Notes in Math, 768 (1979), Springer-Verlag
  3. D. Ebrahimi Bagha, "Amenability for Banach modules", CUBO. A Math ematical Journal, 13, pp.127~137 (2011)
  4. Z. Hu, "On character amenable Banach algebras", Studia Math, 193, pp.53~78 (2009)
  5. B.E. Johnson, "Cohomology of Banach algebras", Mem. Amer. Math. Soc, 127 (1972)
  6. E. Kaniuth, "On ∮-amenability of Banach algebras", Cambridge Philos. Soc, 144, pp.85~96 (2008)
  7. E. Kaniuth, "On character amenability of Banach algebras", J. Math. Anal. Appl, 344, pp.942~955 (2008)
  8. M. S. Monfared, "Character amenability of Banach algebras", Math. Proc. Camb. Phil. Soc, 144, pp.697~706 (2008)
  9. V. Runde, "Lecture Notes in Mathematic" (2002), Springer-Verlag
  10. H. H. Schaefer, "Topological Vector Spaces" (1971), Springer-Verlag

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