본문 바로가기
KERD
논문KCI 등재

The Structure of Maximal Ideal Space of Certain Banach Algebras of Vector-valued Functions

Abbas Ali Shokri|Ali Shokri
경북대학교 자연과학대학 수학과|2014.06|Kyungpook Mathematical Journal|제54권 제2호|pp. 189-195|DOI http://dx.doi.org/10.5666/KMJ.2014.54.2.189

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Banach algebrasInjective normIsometrically isomorphicMaximal ideal space
주제분류수학

초록

Let X be a compact metric space, B be a unital commutative Banach algebra and α ∈ (0,1]. In this paper, we first definethe vector-valued (B-valued) α-Lipschitz operator algebra Lipα(X,B) and then study its structure and characterize ofits maximal ideal space.

Abstract

Let X be a compact metric space, B be a unital commutative Banach algebra and α ∈ (0,1]. In this paper, we first definethe vector-valued (B-valued) α-Lipschitz operator algebra Lipα(X,B) and then study its structure and characterize ofits maximal ideal space.

참고문헌 (11)

  1. W. G. Bade, "Amenability and weak amenability for Berurling and Lipschitz algebras", Proc. London. Math. Soc. (3), 55(2), pp.359~377 (1987)
  2. H. X. Cao, "Characterizations and extensions of Lipschitz-α operators", Acta Mathematica Sinica, English Series, 22, pp.671~678 (2006)
  3. A. Ebadian, "Prime ideals in Lipschitz algebras of finite differentable function", Honam Math. J., 22, pp.21~30 (2000)
  4. A. Ebadian, "On the Lipschitz operator algebras", Archivum mathe-maticum (BRNO), 45(2), pp.213~222 (2009)
  5. T. G. Honary, "Approximation in Lipschitz algebras", Quest. Math., 23, pp.13~19 (2000)
  6. J. A. Johnson, "Lipschitz spaces", Pacific J. Math, 51, pp.177~186 (1974)
  7. V. Runde, "Lectures on Amenability" (2002), Springer
  8. D. R. Sherbert, "Banach algebras of Lipschitz functions", Pacfic J. Math, 13, pp.1387~1399 (1963)
  9. 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)
  10. N. Weaver, "Lipschitz algebras" (1999), World Scientific Publishing Co.
  11. N. Weaver, "Subalgebras of little Lipschitz algebras", Pacfic J. Math., 173, pp.283~293 (1996)

관련 논문AI추천

Approximate and Character amenability of Vector-valued Lipschitz algebrasAli Rejali, Emamgholi Biyabani대한수학회 · 대한수학회보2018 · 제55권 제4호The Maximal Ideal Space of Extended Di erentiable Lipschitz AlgebrasAli Ebadian, Mohammad Ali Abolfathi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제1호Continuity of Banach algebra valued functionsjittisak Rakbud대한수학회 · 대한수학회논문집2014 · 제29권 제4호SOME CHARACTERIZATIONS OF CHARACTER AMENABLE BANACH ALGEBRAS김광휘, Ali Jabbari, Madjid Eshaghi Gordji대한수학회 · 대한수학회보2015 · 제52권 제3호Banach function algebras of $n$-times continuously differentiable functions on $\mathbf{R}^d$ vanishing at infinity and their BSE-extensionsJyunji Inoue, Sin-Ei Takahasi대한수학회 · 대한수학회지2019 · 제56권 제5호Algebras of Gelfand-continuous functions into Arens-Michael algebrasLahbib Oubbi대한수학회 · 대한수학회논문집2019 · 제34권 제2호

이 간행물의 다른 논문 (14건)

A Cyclic Subnormal Completion of Complex DataChunji Li, 정일봉, 박선현pp. 157-163Chain Recurrences on Conservative Dynamics주항연, Jaeyoo Choypp. 165-171On a Class of γ*-pre-open Sets in Topological SpacesG. SAI SUNDARA KRISHNAN, M. Ganster, D. SARAVANAKUMAR, K. Balachandranpp. 173-188Poset Properties Determined by the Ideal - Based Zero-divisor GraphKasi Porselvi, Balasubramanian Elavarasanpp. 197-201Algebraic Fiber Space Whose Generic Fiber and Base Space Are of Almost General TypeShigetaka Fukudapp. 203-209
원문 보기