scholarly journals Fejer-Riesz Theorem and Its Generalization

2021 ◽  
Vol 11 (6) ◽  
pp. 286-292
Author(s):  
Abdulmtalb Hussen ◽  
Abdelbaset Zeyani
Keyword(s):  
Riesz Theorem

scholarly journals The space N(σ) and the F. and M. Riesz theorem

1996 ◽  
Vol 25 (3) ◽  
pp. 567-589
Author(s):  
Hiroshi YAMAGUCHI
Keyword(s):  
Riesz Theorem

Yet another short proof of the Riesz representation theorem

1989 ◽  
Vol 105 (1) ◽  
pp. 139-140 ◽  
Author(s):  
David Ross
Keyword(s):  
Representation Theorem ◽  
Short Proof ◽  
Riesz Representation Theorem ◽  
Riesz Theorem ◽  
Riesz Representation

F. Riesz's ‘Representation Theorem’ has been proved by methods classical [11, 12], category-theoretic [7], and functional-analytic [2, 9]. (Garling's remarkable proofs [5, 6] owe their brevity to the combined strength of these and other methods.) These proofs often reveal a connection between the Riesz theorem and some unexpected area of mathematics.

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