scholarly journals Spline characterizations of the Radon-Nikodým property

2019 ◽  
Vol 148 (2) ◽  
pp. 811-824 ◽  
Author(s):  
Markus Passenbrunner
Keyword(s):  
Nikodym Property

Dual spaces ofJB *-triples and the Radon-Nikodym property

1991 ◽  
Vol 208 (1) ◽  
pp. 327-334 ◽  
Author(s):  
L. J. Bunce ◽  
C. -H. Chu
Keyword(s):  
Dual Spaces ◽  
Nikodym Property

On the Radon-Nikodym Property in Jordan Triples

1987 ◽  
Vol 99 (3) ◽  
pp. 462 ◽  
Author(s):  
Cho-Ho Chu ◽  
Bruno Iochum
Keyword(s):  
Nikodym Property

Dunford-Pettis operators and the Radon-Nikodym property

1988 ◽  
Vol 50 (2) ◽  
pp. 183-188 ◽  
Author(s):  
V. Caselles
Keyword(s):  
Nikodym Property

scholarly journals A variational Henstock integral characterization of the Radon–Nikodým property

2009 ◽  
Vol 53 (1) ◽  
pp. 87-99 ◽  
Author(s):  
B. Bongiorno ◽  
L. Di Piazza ◽  
K. Musiał
Keyword(s):  
Henstock Integral ◽  
Nikodym Property

scholarly journals The weak Radon-Nikodym property in Banach spaces

1979 ◽  
Vol 64 (2) ◽  
pp. 151-174 ◽  
Author(s):  
Kazimierz Musiał
Keyword(s):  
Banach Spaces ◽  
Nikodym Property

scholarly journals The second dual of C0 (S, A)

1994 ◽  
Vol 56 (3) ◽  
pp. 303-313
Author(s):  
Stephen T. L. Choy ◽  
James C. S. Wong
Keyword(s):  
Function Space ◽  
Simple Proof ◽  
Representation Theorem ◽  
Generalized Functions ◽  
Arens Product ◽  
Nikodym Property ◽  
Second Dual ◽  
Vector Valued Function ◽  
Vector Valued

AbstractThe second dual of the vector-valued function space C0(S, A) is characterized in terms of generalized functions in the case where A* and A** have the Radon-Nikodým property. As an application we present a simple proof that C0 (S, A) is Arens regular if and only if A is Arens regular in this case. A representation theorem of the measure μh is given, where , h ∈ L∞ (|μ;|, A**) and μh is defined by the Arens product.

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