scholarly journals Integrals for functions with values in a partially ordered vector space

Positivity ◽  
2015 ◽  
Vol 20 (4) ◽  
pp. 877-916 ◽  
Author(s):  
A. C. M. van Rooij ◽  
W. B. van Zuijlen
Keyword(s):  
Vector Space ◽  
Partially Ordered ◽  
Ordered Vector Space ◽  
Partially Ordered Vector Space

The order-bound topology

1972 ◽  
Vol 71 (2) ◽  
pp. 321-327 ◽  
Author(s):  
Yau-Chuen Wong
Keyword(s):  
Vector Space ◽  
Positive Cone ◽  
Order Topology ◽  
Bounded Subset ◽  
Partially Ordered ◽  
Convex Topology ◽  
Ordered Vector Space ◽  
Partially Ordered Vector Space ◽  
Locally Convex Topology ◽  
Locally Convex

Let (E, C) be a partially ordered vector space with positive cone C. The order-bound topology Pb(6) (order topology in the terminology of Schaefer(9)) on E is the finest locally convex topology for which every order-bounded subset of E is topologically bounded.

Sign in / Sign up

Export Citation Format

Share Document