논문KCI 등재
SOME CHARACTERIZATIONS OF CHARACTER AMENABLE BANACH ALGEBRAS
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this study, the character amenability of Banach algebras is considered and some characterization theorems are established. Indeed, we prove that the character amenability of Lipschitz algebras is equivalent to that of Banach algebras.
Abstract
In this study, the character amenability of Banach algebras is considered and some characterization theorems are established. Indeed, we prove that the character amenability of Lipschitz algebras is equivalent to that of Banach algebras.
참고문헌 (21)
- M. Abtahi, "A new proof of the amenability of C(X)", Bull. Aust. Math. Soc, 81(3), pp.414~417 (2010)
- M. Alaghmandian, "Character amenability and con-tractibility of abstract Segal algebras", Bull. Aust. Math. Soc, 82(2), pp.274~281 (2010)
- W. G. Bade, "Amenability and weak amenability for Beurling and Lipschitz algebras", Proc. London Math. Soc, 55(2), pp.359~377 (1987)
- M. Dashti, "Character Amenability of Lipschitz Algebras", Canad. Math. Bull, 57(1), pp.37~41 (2014)
- A. Ghaffari, "On character amenability of semigroup algebras", Acta Math. Hungar, 134(1-2), pp.177~192 (2012)
- F. Ghahramani, "Generalized notion of amenability", J. Funct. Anal, 208(1), pp.229~260 (2004)
- F. Gourdeau, "Amenability of Banach algebras", Math. Proc. Cambridge Phil. Soc, 105(2), pp.351~356 (1989)
- F. Gourdeau, "Amenability of Lipschitz algebras", Math. Proc. Cambridge Phil. Soc, 112(3), pp.581~588 (1992)
- N. Grønbæk, "Amenability and weak amenability of tensor algebras and algebras of nu-clear operators", J. Aust. Math. Soc, 51(3), pp.483~488 (1991)
- A. Ya, "Helemskii, Banach and Locally Convex Algebras" (1993), Oxford University Press
- Z. Hu, "On character amenable Banach algebras", Studia Math, 193(1), pp.53~78 (2008)
- B. E. Johnson, "Cohomology in Banach algebras", Memoirs of the American Mathematical Society, (127) (1972), American Mathematical Society
- E. Kaniuth, "On ρ-amenability of Banach algebras", Math. Proc. Camb. Phil. Soc, 144(1), pp.85~96 (2008)
- E. Kaniuth, "On character amenability of Banach algebras", J. Math. Anal. Appl, 344(2), pp.942~955 (2008)
- A. T.-M. Lau, "Characterization of amenable Banach algebras", Proc. Amer. Math. Soc, 70, pp.156~160 (1978)
- A. T.-M. Lau, "Analysis on a class of Banach algebras with application to harmonic analysison locally compact groups and semigroups", Fund. Math, 118, pp.161~175 (1983)
- A. T.-M. Lau, "Finite dimensional invariant subspace property and amenability for a class of Banach algebras", Trans. Amer. Math. Soc
- M. S. Monfared, "Character amenability of Banach algebras", Math. Proc. Cambrigde Phil. Soc, 144(3), pp.697~706 (2008)
- R. Nasr-Isfahani, "Essential character amenability of Banach algebras", Bull. Aust. Math. Soc, 84(3), pp.372~386 (2011)
- D. R. Sherbert, "The structure of ideals and point derivations in Banach algebras of Lipschitz functions", Trans. Amer. Math. Soc, 111, pp.240~272 (1964)
- N. Weaver, "Lipschitz Algebras" (1999), World Scientific Publishing Co. Pte Ltd
관련 논문AI추천
Character amenability for a Banach moduleAbasalt Bodaghi, DAVOOD EBRAHIMI BAGHA, FATEMEH ANOUSHEH장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호Approximate and Character amenability of Vector-valued Lipschitz algebrasAli Rejali, Emamgholi Biyabani대한수학회 · 대한수학회보2018 · 제55권 제4호On approximate ultra amenability in Banach algebrasMewomo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호The Structure of Maximal Ideal Space of Certain Banach Algebras of Vector-valued FunctionsAbbas Ali Shokri, Ali Shokri경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호On χ⊗η-Strong Connes Amenability of Certain Dual Banach AlgebrasAli Ghaffari, Ebrahim Tamimi한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제1호Continuity of Banach algebra valued functionsjittisak Rakbud대한수학회 · 대한수학회논문집2014 · 제29권 제4호
이 간행물의 다른 논문 (28건)
THE FUNDAMENTAL THEOREM OF ALGEBRA AND THE DIVERGENCE OF RECIPROCALS OF PRIMES LOOKED AT THROUGH BERGMAN SPACESYunus E. Zeytuncupp. 699-705GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE–HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALSKiran Nazeer, Muhammad Iqbal, Muhammad Iqbal Bhattipp. 707-716CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS조일우pp. 717-734AN ESTIMATE OF HEMPEL DISTANCE FOR BRIDGE SPHERESAyako Idopp. 735-740THE n-TH TWISTED CHANGHEE POLYNOMIALS AND NUMBERS권종겸, 표성수, 박진우, 임석훈pp. 741-749
