Search    
IP Address: 38.107.191.*      
Login
Individual Subscriber Registration
Login Forgot Password?
 
Author Login
Author Registration
Login Forgot Password?
   

 Announcement

The Pushpa Publishing House proposes to organize a five day "International Conference on Mathematics of Date" from December 31, 2010 to January 04, 2011 scheduled to be held at Allahabad, India.

Those who are interested for further information regarding the Conference and other academic activities of the PPH, kindly complete the ICMD-Form-1 so that we include your name on our regular mailing list. (For detailed information please contact ICMD 2010-11 at
conference@pphmj.com )

 
  JP Journal of Geometry and Topology  
 ISSN: 0972-415X
 
 
 

     JP Journal of Geometry and Topology
    Volume 7, Issue 2, Pages 235 - 248 (July 2007)


CHARACTERIZATION OF CONTINUOUS FUNCTIONS ON OPEN CONNECTED SUBSET OF

Fatima M. Azmi (Saudi Arbia)

Received February 7, 2007; Revised April 25, 2007

Abstract
Let A be a Fréchet * -algebra with n-pairwise commuting self-adjoint generators and with no nontrivial idempotent. By imposing the condition that the joint spectral image of the generators contains no boundary points, we are led to a definition of n-special algebra, and prove that the character of A is homeomorphic to an open connected subset of Then by adopting a suitable generalization of the Gelfand-Naimark theorem, we characterize the algebra of all continuous complex valued functions defined on open connected subset of

 

Keywords and phrases: C * algebra, Fréchet * -algebra, Gelfand Naimark theorem, character of A, joint spectrum.

Communicated by Yasuo Matsushita

 


Previous Article    Next Article

 
       

© Copy Right  PUSHPA PUBLISHING HOUSE, Vijaya Niwas, 198, Mumfordganj, Allahabad-211002, India