On the relation between amenability of locally compact groups and the norms of convolution operators

1974 ◽  
Vol 208 (2) ◽  
pp. 149-153 ◽  
Author(s):  
Christian Berg ◽  
Jens Peter Reus Christensen
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Convolution Operators ◽  
Locally Compact

scholarly journals Survey on the Figa`–Talamanca Herz algebra †

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 660
Author(s):  
Antoine Derighetti
Keyword(s):  
Finite Groups ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Convolution Operators ◽  
Locally Compact

This paper presents a self contained approach to the theory of convolution operators on locally compact groups (both commutative and non commutative) based on the use of the Fig a ` –Talamanca Herz algebras. The case of finite groups is also considered.

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