A Banach-Steinhaus theorem for weak and order continuous operators

1990 ◽  
pp. 93-100
Author(s):  
H. H. Schaefer
Keyword(s):  
Continuous Operators ◽  
Steinhaus Theorem ◽  
Order Continuous

scholarly journals Correction to: Unbounded order continuous operators on Riesz spaces

Positivity ◽  
2019 ◽  
Vol 23 (3) ◽  
pp. 759-760
Author(s):  
Akbar Bahramnezhad ◽  
Kazem Haghnejad Azar
Keyword(s):  
Riesz Spaces ◽  
Continuous Operators ◽  
Order Continuous

scholarly journals On positive order continuous operators

1983 ◽  
Vol 86 (1) ◽  
pp. 1-6 ◽  
Author(s):  
C.D. Aliprantis ◽  
O. Burkinshaw
Keyword(s):  
Positive Order ◽  
Continuous Operators ◽  
Order Continuous

scholarly journals Semi-order Continuous Operators on Vector Spaces

2021 ◽  
Author(s):  
Mina Matin ◽  
Kazem Haghnejad Azar ◽  
Razi Alavizadeh
Keyword(s):  
Vector Spaces ◽  
Continuous Operators ◽  
Order Continuous

scholarly journals Order continuity from a topological perspective

Positivity ◽  
2021 ◽  
Author(s):  
T. Hauser ◽  
A. Kalauch
Keyword(s):  
Vector Spaces ◽  
Ordered Sets ◽  
Order Continuity ◽  
Partially Ordered ◽  
Mild Conditions ◽  
Ordered Vector Spaces ◽  
Partially Ordered Vector Spaces ◽  
Continuous Maps ◽  
Continuous Operators ◽  
Order Continuous

AbstractWe study three types of order convergence and related concepts of order continuous maps in partially ordered sets, partially ordered abelian groups, and partially ordered vector spaces, respectively. An order topology is introduced such that in the latter two settings under mild conditions order continuity is a topological property. We present a generalisation of the Ogasawara theorem on the structure of the set of order continuous operators.

Closure Properties of Order Continuous Operators

1985 ◽  
Vol 11 (1) ◽  
pp. 179 ◽  
Author(s):  
Carothers
Keyword(s):  
Closure Properties ◽  
Continuous Operators ◽  
Order Continuous

Unbounded order continuous operators on Riesz spaces

Positivity ◽  
2017 ◽  
Vol 22 (3) ◽  
pp. 837-843 ◽  
Author(s):  
Akbar Bahramnezhad ◽  
Kazem Haghnejad Azar
Keyword(s):  
Riesz Spaces ◽  
Continuous Operators ◽  
Order Continuous

scholarly journals Order Continuous Operators on Pre-Riesz Spaces and Embeddings

2019 ◽  
Vol 38 (4) ◽  
pp. 375-395 ◽  
Author(s):  
Anke Kalauch ◽  
Helena Malinowski
Keyword(s):  
Riesz Spaces ◽  
Continuous Operators ◽  
Order Continuous
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