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Paper Information

Journal:   BANACH JOURNAL OF MATHEMATICAL ANALYSIS   2017 , Volume 11 , Number 1; Page(s) 207 To 222.
 
Paper: 

ORDER STRUCTURE, MULTIPLIERS, AND GELFAND REPRESENTATION OF VECTOR-VALUED FUNCTION ALGEBRAS

 
 
Author(s):  ARHIPPAINEN JORMA, KAUPPI JUKKA*, MATTAS JUSSI
 
* 
 
Abstract: 

We continue the study begun by the third author of C*-Segal algebra-valued function algebras with an emphasis on the order structure. Our main result is a characterization theorem for C*-Segal algebra-valued function algebras with an order unitization. As an intermediate step, we establish a function algebraic description of the multiplier module of arbitrary Segal algebra-valued function algebras. We also consider the Gelfand representation of these algebras in the commutative case.

 
Keyword(s): VECTOR-VALUED FUNCTION ALGEBRA, C*-SEGAL ALGEBRA, MULTIPLIER MODULE, ORDER UNITIZATION, GELFAND REPRESENTATION
 
 
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APA: Copy

ARHIPPAINEN, J., & KAUPPI, J., & MATTAS, J. (2017). ORDER STRUCTURE, MULTIPLIERS, AND GELFAND REPRESENTATION OF VECTOR-VALUED FUNCTION ALGEBRAS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 11(1), 207-222. https://www.sid.ir/en/journal/ViewPaper.aspx?id=573194



Vancouver: Copy

ARHIPPAINEN JORMA, KAUPPI JUKKA, MATTAS JUSSI. ORDER STRUCTURE, MULTIPLIERS, AND GELFAND REPRESENTATION OF VECTOR-VALUED FUNCTION ALGEBRAS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS. 2017 [cited 2021July25];11(1):207-222. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=573194



IEEE: Copy

ARHIPPAINEN, J., KAUPPI, J., MATTAS, J., 2017. ORDER STRUCTURE, MULTIPLIERS, AND GELFAND REPRESENTATION OF VECTOR-VALUED FUNCTION ALGEBRAS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, [online] 11(1), pp.207-222. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=573194.



 
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