Real-linear isometries between function algebras

2011 ◽  
Vol 9 (4) ◽  
pp. 778-788 ◽  
Author(s):  
Takeshi Miura
Keyword(s):  
Function Algebras ◽  
Real Linear ◽  
Linear Isometries

scholarly journals Extremely Strong Boundary Points and Real-linear Isometries

2015 ◽  
Vol 38 (2) ◽  
pp. 477-490 ◽  
Author(s):  
Arya JAMSHIDI ◽  
Fereshteh SADY
Keyword(s):  
Boundary Points ◽  
Real Linear ◽  
Linear Isometries

scholarly journals Real-linear isometries between subspaces of continuous functions

2014 ◽  
Vol 413 (1) ◽  
pp. 229-241 ◽  
Author(s):  
Hironao Koshimizu ◽  
Takeshi Miura ◽  
Hiroyuki Takagi ◽  
Sin-Ei Takahasi
Keyword(s):  
Continuous Functions ◽  
Real Linear ◽  
Linear Isometries

2-Local real-linear isometries on C(1)([0, 1])

2021 ◽  
pp. 1-9
Author(s):  
Hironao Koshimizu ◽  
Takeshi Miura
Keyword(s):  
Real Linear ◽  
Linear Isometries

Real linear isometries between function algebras. II

2013 ◽  
Vol 11 (10) ◽  
Author(s):  
Osamu Hatori ◽  
Takeshi Miura
Keyword(s):  
Maximal Ideal ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Hausdorff Spaces ◽  
Shilov Boundary ◽  
Locally Compact ◽  
Choquet Boundary ◽  
Function Algebras ◽  
Real Linear ◽  
Uniformly Closed

AbstractWe describe the general form of isometries between uniformly closed function algebras on locally compact Hausdorff spaces in a continuation of the study by Miura. We can actually obtain the form on the Shilov boundary, rather than just on the Choquet boundary. We also give an example showing that the form cannot be extended to the whole maximal ideal space.

Real-linear isometries between certain subspaces of continuous functions

2013 ◽  
Vol 11 (11) ◽  
Author(s):  
Arya Jamshidi ◽  
Fereshteh Sady
Keyword(s):  
Metric Spaces ◽  
Continuous Functions ◽  
Supremum Norm ◽  
Hausdorff Spaces ◽  
Linear Isometry ◽  
Compact Metric Spaces ◽  
Separating Property ◽  
Similar Description ◽  
Real Linear ◽  
Linear Isometries

AbstractIn this paper we first consider a real-linear isometry T from a certain subspace A of C(X) (endowed with supremum norm) into C(Y) where X and Y are compact Hausdorff spaces and give a result concerning the description of T whenever A is a uniform algebra on X. The result is improved for the case where T(A) is, in addition, a complex subspace of C(Y). We also give a similar description for the case where A is a function space on X and the range of T is a real subspace of C(Y) satisfying a ceratin separating property. Next similar results are obtained for real-linear isometries between spaces of Lipschitz functions on compact metric spaces endowed with a certain complete norm.

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