International Journal of Mathematics Trends and Technology
Volume 67 | Issue 9 | Year 2021 | Article Id. IJMTT-V67I9P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I9P519
Here we characterize relative weak compact subset of Orlicz- Bochner space LΦ(μ, X), where X is a re exive Banach space and Φ is a Young function, first using "convex compactness criterion" and then using regular method of summability. We also prove a convergence theorem in LΦ(μ, X) which generalization of similar result in L1(μ, X) and Lp(μ, X) of A. Ulger[19] and S. Diaz [4].
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Tanusree Choudhury, "ON WEAK COMPACTNESS IN LΦ(μ, X)," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 9, pp. 161-170, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I9P519
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