논문KCI 등재
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)
- A. Bodaghi, "Module character amenability of Banach algebras", Arch. Math, 99, pp.353~365 (2012)
- R. S. Doran, "Approximate identities and factorization in Banach modules", Lecture Notes in Math, 768 (1979), Springer-Verlag
- D. Ebrahimi Bagha, "Amenability for Banach modules", CUBO. A Math ematical Journal, 13, pp.127~137 (2011)
- Z. Hu, "On character amenable Banach algebras", Studia Math, 193, pp.53~78 (2009)
- B.E. Johnson, "Cohomology of Banach algebras", Mem. Amer. Math. Soc, 127 (1972)
- E. Kaniuth, "On ∮-amenability of Banach algebras", Cambridge Philos. Soc, 144, pp.85~96 (2008)
- E. Kaniuth, "On character amenability of Banach algebras", J. Math. Anal. Appl, 344, pp.942~955 (2008)
- M. S. Monfared, "Character amenability of Banach algebras", Math. Proc. Camb. Phil. Soc, 144, pp.697~706 (2008)
- V. Runde, "Lecture Notes in Mathematic" (2002), Springer-Verlag
- H. H. Schaefer, "Topological Vector Spaces" (1971), Springer-Verlag
관련 논문AI추천
SOME CHARACTERIZATIONS OF CHARACTER AMENABLE BANACH ALGEBRAS김광휘, Ali Jabbari, Madjid Eshaghi Gordji대한수학회 · 대한수학회보2015 · 제52권 제3호On Amenability in Banach algebras of Approximable OperatorsO.T. Mewomo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호On χ⊗η-Strong Connes Amenability of Certain Dual Banach AlgebrasAli Ghaffari, Ebrahim Tamimi한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제1호On approximate ultra amenability in Banach algebrasMewomo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호Module derivations on commutative Banach modulesAbasalt Bodaghi, Behrouz Shojaee, Massoud Amini대한수학회 · 대한수학회논문집2020 · 제35권 제3호MODULE EXTENSION OF DUAL BANACH ALGEBRASFereydoun Habibian, Madjid Eshaghi Gordji대한수학회 · 대한수학회보2010 · 제47권 제4호
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