scholarly journals Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms

2007 ◽  
Vol 183 (3) ◽  
pp. 259-271 ◽  
Author(s):  
M. Fragoulopoulou ◽  
A. Inoue
Keyword(s):  
Tensor Product ◽  
Locally Convex Algebras ◽  
Unbounded Representations ◽  
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

Strict Topology on Spaces of Continuous Vector-Valued Functions

1979 ◽  
Vol 31 (4) ◽  
pp. 890-896 ◽  
Author(s):  
Seki A. Choo
Keyword(s):  
Tensor Product ◽  
Convex Space ◽  
Hausdorff Space ◽  
Continuous Functions ◽  
Locally Convex Space ◽  
Completely Regular ◽  
Vector Valued Functions ◽  
Bounded Continuous Functions ◽  
Vector Valued ◽  
Locally Convex

In this paper, X denotes a completely regular Hausdorff space, Cb(X) all real-valued bounded continuous functions on X, E a Hausforff locally convex space over reals R, Cb(X, E) all bounded continuous functions from X into E, Cb(X) ⴲ E the tensor product of Cb(X) and E. For locally convex spaces E and F, E ⴲ, F denotes the tensor product with the topology of uniform convergence on sets of the form S X T where S and T are equicontinuous subsets of E′, F′ the topological duals of E, F respectively ([11], p. 96). For a locally convex space G , G ′ will denote its topological dual.

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.

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