scholarly journals About the joint spectrum of vector-valued functions

2020 ◽  
Vol 24 (1) ◽  
pp. 147-158
Author(s):  
Mart Abel
Keyword(s):  
Banach Algebras ◽  
Topological Algebras ◽  
Joint Spectrum ◽  
Vector Valued Functions ◽  
Vector Valued

We generalize the results of Abtahi and Farhangi about the joint spectrum and A-valued spectrum of a vector-valued map from the class of unital commutative semisimple Banach algebras to the case of unital topological algebras.

scholarly journals BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS

2013 ◽  
Vol 56 (2) ◽  
pp. 419-426 ◽  
Author(s):  
AZADEH NIKOU ◽  
ANTHONY G. O'FARRELL
Keyword(s):  
Banach Algebra ◽  
Compact Hausdorff Space ◽  
Hausdorff Space ◽  
Banach Algebras ◽  
Function Algebra ◽  
Shilov Boundary ◽  
Function Algebras ◽  
Peak Points ◽  
Vector Valued Functions ◽  
Vector Valued

AbstractWe introduce the concept of an E-valued function algebra, a type of Banach algebra that consists of continuous E-valued functions on some compact Hausdorff space, where E is a Banach algebra. We present some basic results about such algebras, having to do with the Shilov boundary and the set of peak points of some commutative E-valued function algebras. We give some specific examples.

scholarly journals BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS

2019 ◽  
Vol 62 (3) ◽  
pp. 746-746
Author(s):  
AZADEH NIKOU ◽  
ANTHONY G. O’FARRELL
Keyword(s):  
Banach Algebras ◽  
Vector Valued Functions ◽  
Vector Valued

AbstractWe correct an error in our paper published in volume 56 of this journal.

scholarly journals Farkas-Type Results for Vector-Valued Functions with Applications

2017 ◽  
Vol 173 (2) ◽  
pp. 357-390 ◽  
Author(s):  
N. Dinh ◽  
M. A. Goberna ◽  
M. A. López ◽  
T. H. Mo
Keyword(s):  
Vector Valued Functions ◽  
Vector Valued
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