On the state diagram of a linear operator and its adjoint in locally convex spaces. II

1968 ◽  
Vol 176 (2) ◽  
pp. 121-128 ◽  
Author(s):  
J. Loustaunau
Keyword(s):  
Linear Operator ◽  
State Diagram ◽  
The State ◽  
Locally Convex Spaces ◽  
Locally Convex ◽  
Convex Spaces

scholarly journals Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3075-3089
Author(s):  
Daniel Velinov ◽  
Marko Kostic ◽  
Stevan Pilipovic
Keyword(s):  
Linear Operator ◽  
Infinitesimal Generator ◽  
Cosine Function ◽  
Locally Convex Spaces ◽  
Regularizing Operator ◽  
Multivalued Linear Operator ◽  
C Distribution ◽  
Locally Convex ◽  
Cosine Functions ◽  
Convex Spaces

The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate C-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator C is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate C-(ultra)distribution cosine functions.

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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