Maximal ideal space of certain α-Lipschitz operator algebras

• Autorzy: Shokri A. A. , Shokri A.
• Języki publikacji: EN

Abstrakty

EN

In a recent paper by A. Ebadian and A.A. Shokri [1], a α-Lipschitz operator from a compact metric space X into a unital bounded commutative Banach algebra B is defined. Let (X,d) be a nonempty compact metric space, 0<α≤1 and (B, || . ||) be a unital bounded commutative Banach algebra. Let Lip_α(X,B) be the algebra of all bounded continuous operators ƒ: X → B such that [formula/wzor]. In this work, we characterize the maximal ideal space of Lip_α(X,B).

Słowa kluczowe

EN

Banach algebra; Lipschitz operator algebras; maximal ideal space

PL

analiza funkcjonalna; algebra Banacha; operator liniowy ograniczony; przestrzeń metryczna zwarta

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2012
• Tom: Vol. 35
• Strony: 83--89
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Shokri A. A.

• Departament of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran

autor

Shokri A.

• Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran

Bibliografia

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• [2] A. Ebadian, Prime ideals in Lipschitz algebras of finite differentable function, Honam Math. J. 22, 2000, 21-30.
• [3] B. E. Johnson, Lipschitz spaces, Pacific J. Math, 51, 1975, 177-186.
• [4] D. R. Sherbert, Banach Algebras of Lipschitz functions, Pacific J. Math, 13, 1963, 1387-1399.
• [5] D. R. Sherbert, The structure of ideals and point derivations in Banach algebras of Lipschitz functions, Trans. Amer. Math. Soc., 111, 1964, 240-272.
• [6] H. X. Cao, J. H. Zhang, Z. B. Xu, Characterizations and extensions of Lipschitz-α operators, Acta Mathematica Sinica, English Series, 22 (3), 2006, 671-678.
• [7] N. Weaver, Lipschitz algebras, World Scientific Publishing Co., Inc., River Edge, NJ, 1999.
• [8] N. Weaver, Subalgebras of little Lipschitz algebras, Pacific J. Math., 173, 1996, 283-293.
• [9] T. G. Honary, H. Mahyar, Approximation in Lipschitz algebras, Quest. Math. 23, 2000, 13-19.
• [10] V. Runde, Lectures on Amenability, Springer, 2002.
• [11] W. G. Bade, P. C. Curtis, H. G. Dales, Amenability and weak amenability for Berurling and Lipschitz algebras, Proc. London Math. Soc. 3, 55, 1987, 359-377.