scholarly journals Köthe dual of Banach lattices generated by vector measures

2013 ◽  
Vol 173 (4) ◽  
pp. 541-557 ◽  
Author(s):  
Mieczysław Mastyło ◽  
Enrique A. Sánchez-Pérez
Keyword(s):  
Banach Lattices ◽  
Vector Measures ◽  
Köthe Dual

scholarly journals The Köthe Dual of an Abstract Banach Lattice

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
E. Jiménez Fernández ◽  
M. A. Juan ◽  
E. A. Sánchez-Pérez
Keyword(s):  
Integral Representation ◽  
Banach Lattice ◽  
Broad Class ◽  
Banach Lattices ◽  
Vector Measures ◽  
Integrable Functions ◽  
Suitable Definition ◽  
Integral Structures ◽  
Definition Of ◽  
Köthe Dual

We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined onδ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces supported by integral structures, that is, the largest class in which an integral representation of some elements of the dual makes sense. In order to check the appropriateness of our definition, we analyze how far the coincidence of the Köthe dual with the topological dual is preserved.

scholarly journals Joint continuity of injective tensor products of vector measures in Banach lattices

2003 ◽  
Vol 74 (2) ◽  
pp. 185-200 ◽  
Author(s):  
Jun Kawabe
Keyword(s):  
Weak Convergence ◽  
Tensor Product ◽  
Convergence Theorem ◽  
Banach Lattices ◽  
Integration Theory ◽  
Vector Measures ◽  
Joint Continuity ◽  
Positive Vector ◽  
Injective Tensor Product ◽  
Bilinear Integration

AbstractIt is shown that the injective tensor product of positive vector measures in certain Banach lattices is jointly continuous with respect to the weak convergence of vector measures. This result is obtained by a diagonal convergence theorem for injective tensor integrals. Our approach to this problem is based on Bartle's bilinear integration theory.

ON RADON VECTOR MEASURES

1995 ◽  
Vol 21 (1) ◽  
pp. 74 ◽  
Author(s):  
Panchapagesan
Keyword(s):  
Vector Measures

Modules of Families of Vector Measures on a Riemann Surface

2018 ◽  
Vol 234 (5) ◽  
pp. 608-615
Author(s):  
Yu. V. Dymchenko ◽  
V. A. Shlyk
Keyword(s):  
Riemann Surface ◽  
Vector Measures

Reflexivity in Banach lattices

1994 ◽  
Vol 63 (6) ◽  
pp. 549-552 ◽  
Author(s):  
Santiago D�az ◽  
Antonio Fern�ndez
Keyword(s):  
Banach Lattices
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