Paper Information

Title: 

NORM MULTIPLICATIVITY CONDITION FOR MAPS BETWEEN BANACH FUNCTION ALGEBRAS

Type: SPEECH
Author(s): HOSSEINI M.,SADI F.*
 
 *DEPARTMENT OF MATHEMATICS, TARBIAT MODARES UNIVERSITY
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

Let X and Y be locally compact Hausdorff spaces and let A and B be Banach function algebras on X and Y , respectively. We show that under certain conditions a (not necessarily linear) map T from A onto B satisfying either (i) ççfgççX = ççTfTgççY, f, gÎA, or (ii) fg(X) = TfTg(Y), f, gÎA, induces a homeomorphism between the Choquet boundaries of A and B. Here çç. ççx and çç. ççY denotes the sup-norm of elements in A and B, respectively. We also characterize the general form of a map T satisfying (ii) in he case where A=C(X), B=C(Y), for real compact spaces X and Y.

 
Keyword(s): BANACH FUNCTION ALGEBRA, NORM-PRESERVING MAP, RANGE-PRESERVING MAP, CHOQUET BOUNDARY
 
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