ON BANACH-STONE TYPE THEOREMS IN UNIFORM MULTIPLICATIVE SUBGROUPS OF C(K)-SPACES

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ON BANACH-STONE TYPE THEOREMS IN UNIFORM MULTIPLICATIVE SUBGROUPS OF C(K)-SPACES

ON BANACH-STONE TYPE THEOREMS IN UNIFORM MULTIPLICATIVE SUBGROUPS OF C(K)-SPACES

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Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (6): 1912-1920.

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Yunbai DONG¹, Pei-Kee LIN², Bentuo ZHENG²

1 Research Center of Nonlinear Science and School of Mathematics and Computer, Wuhan Textile University, Wuhan 430073, China;
2 Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152-3240, USA

Received:2017-03-31 Revised:2018-02-18 Online:2018-12-25 Published:2018-12-28
Contact: Yunbai DONG E-mail:baiyunmu301@126.com
Supported by:
Yunbai Dong's research was supported in part by the NSFC (11671314) and the Foundation of Hubei Provincial Department of Education (Q20161602). Bentuo Zheng's research was supported in part by the NSF-DMS (1200370) and the NSFC (11628102).

Yunbai DONG, Pei-Kee LIN, Bentuo ZHENG. ON BANACH-STONE TYPE THEOREMS IN UNIFORM MULTIPLICATIVE SUBGROUPS OF C(K)-SPACES[J].Acta mathematica scientia,Series B, 2018, 38(6): 1912-1920.

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[1] Araujo J, Font J J. On Šilov boundaries for subspaces of continuous functions. Topology Appl, 1997, 77:79-85
[2] Araujo J, Font J J. Linear isometries between subspaces of continuous functions. Trans Amer Math Soc, 1997, 349:413-428
[3] Arens R, Singer I M. Functions values as boundary integrals. Proc Amer Math Soc, 1954, 5:735-745
[4] Banach S. Théorie des Opérations Lineaires. Reprinted. New York:Clelsea Publishing Company, 1963
[5] Behrends E. M-structure and the Banach-Stone Theorem. Berlin:Springer-Verlag, 1978
[6] Benyamini Y, Lindenstrauss J. Geometric Nonlinear Functional Analysis Vol 1. Providence:Amer Math Soc, 2000
[7] Garrido M I, Jaramillo J A. Variations on the Banach-Stone theorem. Extracta Math, 2002, 17:351-383
[8] Hatori O, Lambert S, Luttman A, Miura T, Tonev T, Yates R. Spectral preservers in commutative Banach algebras. Contemp Math, 2011, 547:103-123
[9] Hatori O, Miura T, Takagi H. Characterization of isometric isomorphisms between uniform algebras via non-linear range-preserving properties. Proc Amer Math Soc, 2006, 134:2923-2930
[10] Holsztyński H. Continuous mappings induced by isometries of spaces of continuous functions. Studia Math, 1966, 26:133-136
[11] Jarosz K. When is a linear functional multiplicative? Contemp Math, 1999, 232:201-210
[12] Lambert S, Luttman A, Tonev T. Weakly peripherally-multiplicative operators between uniform algebras. Contemp Math, 2007, 435:265-281
[13] Luttman A, Tonev T. Uniform algebra isomorphisms and peripheral multiplicativity. Proc Amer Math Soc, 2007, 135:3589-3598
[14] Rao N V, Roy A K. Multiplicatively spectrum-preserving maps of function algebras. Proc Amer Math Soc, 2005, 133:1135-1142
[15] Stone M H. Applications of the theory of boolean rings to general topology. Trans Amer Math Soc, 1937, 41:375-481
[16] Wang M. Weighted composition operators between Dirichlet spaces. Acta Math Sci, 2011, 31B(2):641-651
[17] Wang M, Liu P. Collectively compact composition operator sequences between Bergman and Hardy spaces. Acta Math Sci, 2004, 24B(2):206-212

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