Plurisubharmonic functions in topological vector spaces: Polar sets and problems of measure

1974 ◽  
pp. 58-68 ◽  
Author(s):  
Pierre Lelong
Keyword(s):  
Vector Spaces ◽  
Plurisubharmonic Functions ◽  
Topological Vector Spaces

ON SOFT FUZZY SOFT TOPOLOGICAL VECTOR SPACES AND DIFFERENTIATIONS

2020 ◽  
Vol 9 (8) ◽  
pp. 6145-6151
Author(s):  
V. Visalakshi ◽  
T. Yogalakshmi
Keyword(s):  
Vector Spaces ◽  
Topological Vector Spaces

Finite dimensional locally convex cones

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5111-5116
Author(s):  
Davood Ayaseha
Keyword(s):  
Finite Dimension ◽  
Convex Cones ◽  
Vector Spaces ◽  
Topological Vector Spaces ◽  
Euclidean Topology ◽  
Finite Dimensional ◽  
Dimensional Cone ◽  
Locally Convex Cones ◽  
Locally Convex ◽  
Special Case

We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone. In special case of finite dimensional locally convex topological vector spaces, the symmetric topology induced by the Euclidean convex quasiuniform structure reduces to the known concept of Euclidean topology. We prove that the dual of a finite dimensional cone endowed with the Euclidean convex quasiuniform structure is identical with it?s algebraic dual.

scholarly journals The Lax-Milgram theorem for topological vector spaces

1972 ◽  
Vol 40 (3) ◽  
pp. 601-608 ◽  
Author(s):  
Bor-Luh Lin ◽  
Robert H Lohman
Keyword(s):  
Vector Spaces ◽  
Topological Vector Spaces

scholarly journals *—Inductive limits and partition of unity

1989 ◽  
Vol 12 (3) ◽  
pp. 429-434
Author(s):  
V. Murali
Keyword(s):  
Inductive Limit ◽  
Partition Of Unity ◽  
Vector Spaces ◽  
Inductive Limits ◽  
Topological Vector Spaces ◽  
Limit Space ◽  
Direct Sum

In this note we define and discuss some properties of partition of unity on *-inductive limits of topological vector spaces. We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it is isomorphic and homeomorphic to a subspace of a *-direct sum of topological vector spaces.

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