Star order on operator and function algebras and its nonlinear preservers

2016 ◽  
Vol 64 (12) ◽  
pp. 2519-2532 ◽  
Author(s):  
Martin Bohata ◽  
Jan Hamhalter
1971 ◽  
Vol 195 (3) ◽  
pp. 159-166 ◽  
Author(s):  
A. J. Ellis

1993 ◽  
Vol 36 (1) ◽  
pp. 123-128
Author(s):  
K. Seddighi ◽  
H. Zahedani

AbstractLet C(X) be the space of all continuous complex-valued functions defined on the compact Hausdorff space X. We characterize the M-ideals in a uniform algebra A of C(X) in terms of singular measures. For a Banach function algebra B of C(X) we determine the connection between strong hulls for B and its peak sets. We also show that M(X) the space of complex regular Borel measures on X has no M-ideal.


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