scholarly journals On the semi-inner product in locally convex spaces

1997 ◽  
Vol 20 (2) ◽  
pp. 219-224
Author(s):  
Shih-Sen Chang ◽  
Yu-Qing Chen ◽  
Byung Soo Lee
Keyword(s):  
Inner Product ◽  
Locally Convex Spaces ◽  
Basic Properties ◽  
Inner Products ◽  
Locally Convex ◽  
Convex Spaces

The purpose of this paper is to introduce the concept of semi-inner products in locally convex spaces and to give some basic properties.

scholarly journals Asymmetric locally convex spaces

2005 ◽  
Vol 2005 (16) ◽  
pp. 2585-2608 ◽  
Author(s):  
S. Cobzaş
Keyword(s):  
Type Theorem ◽  
Weak Compactness ◽  
Separation Theorems ◽  
Locally Convex Spaces ◽  
Basic Properties ◽  
Locally Convex ◽  
Convex Spaces

The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some basic properties. Among these I do mention the analogs of the Eidelheit-Tuckey separation theorems, of the Alaoglu-Bourbaki theorem on the weak compactness of the polar of a neighborhood of 0, and a Krein-Milman-type theorem. These results extend those obtained by García-Raffi et al. (2003) and Cobzaş (2004).

scholarly journals A characterization of Pontryagin–van Kampen duality for locally convex spaces

2002 ◽  
Vol 121 (1-2) ◽  
pp. 75-89 ◽  
Author(s):  
Fernando Garibay Bonales ◽  
F.Javier Trigos-Arrieta ◽  
Rigoberto Vera Mendoza
Keyword(s):  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces
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