Refine your search
Collections
Co-Authors
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Chakraborty, N. D.
- Pettis-Type Spaces for a Bounded Family of Measures
Abstract Views :223 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, The University of Burdwan, Burdwan-713104 (W.B.), IN
1 Department of Mathematics, The University of Burdwan, Burdwan-713104 (W.B.), IN
Source
The Journal of the Indian Mathematical Society, Vol 70, No 1-4 (2003), Pagination: 111-119Abstract
Let (Ω,Σ,μ) be a probability space and let N⊂ca (Σ) be a bounded family of positive measures and X be a Banach space. Let P1(N,X) be the Pettis-type spaces with respect to N. Assuming that X is weakly sequentially complete, we prove the completeness of P1(N,X) with respect to the Pettis semi-norm. Also we prove the Vitali’s convergence theorem, Lebesgue dominated theorem and a necessary and sufficient condition for a function to belong to P1(N,X).Keywords
Lebesgue-Type Spaces, Pettis-Type Spaces, Vitali’s Convergence Theorem, Lebesgue Dominated Convergence Theorem, Young’s Function, Orlicz Spaces.- Weak Radon-Nikodym Property and Vector-Valued Harmonic Functions
Abstract Views :219 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, University of Burdwan, Burdwan—713104, West Bengal, IN
1 Department of Mathematics, University of Burdwan, Burdwan—713104, West Bengal, IN