Existence of well-behaved ∗-representations of locally convex ∗-algebras

2006 ◽  
Vol 279 (1-2) ◽  
pp. 86-100 ◽  
Author(s):  
S. J. Bhatt ◽  
M. Fragoulopoulou ◽  
A. Inoue
Keyword(s):  
Locally Convex Algebras ◽  
Locally Convex

On C*-Like Locally Convex ∗-Algebras

2002 ◽  
Vol 235 (1) ◽  
pp. 51-58 ◽  
Author(s):  
Atsushi Inoue ◽  
Klaus-Detlef Kürsten
Keyword(s):  
Locally Convex Algebras ◽  
Locally Convex

scholarly journals Köthe coechelon spaces as locally convex algebras

2010 ◽  
Vol 199 (3) ◽  
pp. 241-265 ◽  
Author(s):  
José Bonet ◽  
Paweł Domański
Keyword(s):  
Locally Convex Algebras ◽  
Locally Convex

Spectral and Boundedness Radii in Locally Convex Algebras

1998 ◽  
Vol 5 (3) ◽  
pp. 233-241
Author(s):  
A. El Kinani ◽  
L. Oubbi ◽  
M. Oudadess
Keyword(s):  
Spectral Radius ◽  
Locally Convex Algebras ◽  
Locally Convex

Abstract Connections between the spectral radius and the radius of boundedness are studied. Different characterizations of algebras (Q-property, strong saquentiality) are given in terms of these radii. Examples and applications are also provided.

scholarly journals Topological amenability and Köthe co-echelon algebras

2022 ◽  
Vol 16 (1) ◽  
Author(s):  
Alexei Yu. Pirkovskii ◽  
Krzysztof Piszczek
Keyword(s):  
Banach Algebras ◽  
Banach Module ◽  
Locally Convex Algebras ◽  
Convex Module ◽  
Locally Convex

AbstractWe introduce a notion of a topologically flat locally convex module, which extends the notion of a flat Banach module and which is well adapted to the nonmetrizable setting (and especially to the setting of DF-modules). Using this notion, we introduce topologically amenable locally convex algebras and we show that a complete barrelled DF-algebra is topologically amenable if and only if it is Johnson amenable, extending thereby Helemskii–Sheinberg’s criterion for Banach algebras. As an application, we completely characterize topologically amenable Köthe co-echelon algebras.

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