scholarly journals Three-space-problem for inductively (semi)-reflexive locally convex spaces

2005 ◽  
Vol 77 (91) ◽  
pp. 1-6 ◽  
Author(s):  
Stojan Radenovic ◽  
Zoran Kadelburg
Keyword(s):  
Locally Convex Spaces ◽  
Space Problem ◽  
Three Space ◽  
Locally Convex ◽  
Convex Spaces

Three-space-stability of inductively (semi)-reflexive and some related classes of locally convex spaces is considered. It is shown that inductively (semi)-reflexive spaces behave more regularly than (semi)-reflexive spaces in that sense.

scholarly journals Some properties of C-reflexive locally convex spaces

2007 ◽  
pp. 52-58 ◽  
Author(s):  
Stojan Radenovic
Keyword(s):  
Locally Convex Spaces ◽  
Quotient Mapping ◽  
Compact Disks ◽  
Three Space ◽  
Locally Convex ◽  
Arbitrary Product ◽  
Convex Spaces

In this note, we shall prove that the class of C-reflexive spaces is stable with respect to separated quotient, arbitrary product and sum, which is not the case for the closed subspaces and the dense hyper planes. If the quotient mapping lifts compact disks, then the class of C-reflexive spaces is three-space stable.

ON THE PRINCIPLE OF UNIFORM BOUNDEDNESS FOR LSC CONVEX PROCESSES IN A STRICTLY N LOCALLY CONVEX SPACES

2008 ◽  
Vol 41 (1) ◽  
Author(s):  
S. Lahrech ◽  
A. Jaddar ◽  
J. Hlal ◽  
A. Ouahab ◽  
A. Mbarki
Keyword(s):  
Uniform Boundedness ◽  
Locally Convex Spaces ◽  
Convex Processes ◽  
Locally Convex ◽  
Convex Spaces

DENTABILITY IN LOCALLY CONVEX SPACES

1991 ◽  
Vol 14 (1) ◽  
pp. 105-110
Author(s):  
Neill Robertson
Keyword(s):  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces

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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