symmetric banach algebras
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scholarly journals Two commutative amenable non-symmetric Banach algebras

1995 ◽  
Vol 59 (2) ◽  
pp. 225-231
Author(s):  
B. E. Johnson
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Amenable Banach Algebra ◽  
Symmetric Banach Algebras

AbstractWe show that a commutative amenable Banach algebra need not be symmetric by constructing suitable examples.

Positive Functionals and Representations of Tensor Products of Symmetric Banach Algebras

1968 ◽  
Vol 20 ◽  
pp. 1192-1202 ◽  
Author(s):  
Harvey A. Smith
Keyword(s):  
Weak Topology ◽  
Banach Algebras ◽  
Tensor Products ◽  
Symmetric Algebra ◽  
Positive Functionals ◽  
Symmetric Banach Algebras

Except for using “algebra” rather than “ring” and “compact” rather than “bicompact”, we adopt the terminology used in (6). Every symmetric algebra, Ai, will have an identity, ei All representations will be cyclic and symmetric. Sets of functionals will carry the relative weak* topology.

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