scholarly journals Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy

1975 ◽  
Vol 79 ◽  
pp. 441-509 ◽  
Author(s):  
Seán Dineen
Keyword(s):  
Locally Convex Spaces ◽  
Infinite Dimensional ◽  
Infinite Dimensional Holomorphy ◽  
Locally Convex ◽  
Convex Spaces

TIGHTNESS OF SOBOLEV CAPACITIES IN INFINITE DIMENSIONAL SPACES

1999 ◽  
Vol 02 (03) ◽  
pp. 427-440 ◽  
Author(s):  
O. V. PUGACHEV
Keyword(s):  
Locally Convex Spaces ◽  
Sobolev Classes ◽  
Infinite Dimensional ◽  
Mild Conditions ◽  
Locally Convex ◽  
Convex Spaces

We prove tightness of capacities generated by Sobolev classes of all orders in locally convex spaces under quite mild conditions on the space and on the measure.

scholarly journals The existence of a factorized unbounded operator between Fréchet spaces

2018 ◽  
Vol 13 (01) ◽  
pp. 2050017
Author(s):  
Ersin Kızgut ◽  
Murat Yurdakul
Keyword(s):  
Unbounded Operator ◽  
Fréchet Space ◽  
Locally Convex Spaces ◽  
Frechet Space ◽  
Fréchet Spaces ◽  
Continuous Linear ◽  
Linear Map ◽  
Infinite Dimensional ◽  
Locally Convex ◽  
Convex Spaces

For locally convex spaces [Formula: see text] and [Formula: see text], the continuous linear map [Formula: see text] is called bounded if there is a zero neighborhood [Formula: see text] of [Formula: see text] such that [Formula: see text] is bounded in [Formula: see text]. Our main result is that the existence of an unbounded operator [Formula: see text] between Fréchet spaces [Formula: see text] and [Formula: see text] which factors through a third Fréchet space [Formula: see text] ends up with the fact that the triple [Formula: see text] has an infinite dimensional closed common nuclear Köthe subspace, provided that [Formula: see text] has the property [Formula: see text].

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
Sign in / Sign up

Export Citation Format

Share Document