본문 바로가기
KERD
논문KCI 등재

MODULE EXTENSION OF DUAL BANACH ALGEBRAS

Madjid Eshaghi Gordji|Fereydoun Habibian
대한수학회 (The Korean Mathematical Society)|2010.07|대한수학회보 (Bulletin of the KMS)|제47권 제4호|pp. 663-673

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

derivationConnes-amenable
주제분류수학

초록

This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the weak*-continuous derivations on the module extension of dual Banach algebras and also the weak Connesamenability of such Banach algebras.

Abstract

This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the weak*-continuous derivations on the module extension of dual Banach algebras and also the weak Connesamenability of such Banach algebras.

참고문헌 (12)

  1. A. Connes, "Classification of injective factors. Cases II1, III∞, IIIλ, λ≠1", Ann. of Math., 104(1), pp.73~115 (1976)
  2. A. Connes, "On the cohomology of operator algebras", J. Functional Analysis, 28(2), pp.248~253 (1978)
  3. H. G. Dales, "Banach Algebras and Automatic Continuity, London Mathematical Society Monographs. New Series, 24. Oxford Science Publications" (2000), The Clarendon Press, Oxford University Press
  4. M. Eshaghi Gordji, "Left introverted subspaces of duals of Banach algebras and weak*-continuous derivations on dual Banach algebras, Submitted", ~
  5. U. Haagerup, "All nuclear C*-algebras are amenable", Invent. Math., 74(2), pp.305~319 (1983)
  6. B. E. Johnson, "Cohomology in Banach Algebras, Memoirs of the American Mathematical Society, No. 127" (1972), American Mathematical Society
  7. B. E. Johnson, "Cohomology of operator algebras. III. Reduction to normal cohomology", Bull. Soc. Math. France, 100, pp.73~96 (1972)
  8. V. Runde, "Amenability for dual Banach algebras", Studia Math., 148(1), pp.47~66 (2001)
  9. V. Runde, "Lectures on Amenability" (2002), Springer-Verlage
  10. W. Rudin, "Functional Analysis: second edition" (1991), Mcgraw-Hill
  11. S.Wassermann, "On tensor products of certain group C*-algebras", J. Functional Analysis, 23(3), pp.239~254 (1976)
  12. Y. Zhang, "Weak amenability of module extensions of Banach algebras", Trans. Amer. Math. Soc., 354(10), pp.4131~4151 (2002)

관련 논문AI추천

On χ⊗η-Strong Connes Amenability of Certain Dual Banach AlgebrasAli Ghaffari, Ebrahim Tamimi한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제1호Character amenability for a Banach moduleAbasalt Bodaghi, DAVOOD EBRAHIMI BAGHA, FATEMEH ANOUSHEH장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호Module derivations on commutative Banach modulesAbasalt Bodaghi, Behrouz Shojaee, Massoud Amini대한수학회 · 대한수학회논문집2020 · 제35권 제3호On Amenability in Banach algebras of Approximable OperatorsO.T. Mewomo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호SOME CHARACTERIZATIONS OF CHARACTER AMENABLE BANACH ALGEBRAS김광휘, Ali Jabbari, Madjid Eshaghi Gordji대한수학회 · 대한수학회보2015 · 제52권 제3호CONTINUITY OF (α, β)-DERIVATIONS OF OPERATOR ALGEBRASChengjun Hou, Qing Meng대한수학회 · 대한수학회지2011 · 제48권 제4호

이 간행물의 다른 논문 (17건)

TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEMKaleem Raza Kazmi, Faizan Ahmad Khan, Mohammad Shahzapp. 675-685ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEXAlessio Russopp. 687-691INVERSE POLYNOMIAL MODULES INDUCED BY AN R-LINEAR MAP정진선, 박상원pp. 693-699GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS진대호pp. 701-714ON FULLY IDEMPOTENT RINGS김남균, 이양, 전영철pp. 715-726
원문 보기