Approximative Compactness in Orlicz Spaces
β Scribed by Henryk Hudzik; Baoxiang Wang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 193 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
β¦ Synopsis
Some criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are presented.
π SIMILAR VOLUMES
Various characterizations are given of the exponential Orlicz space L exp t r and the Orlicz -Lorentz space L exp t r , t r . By way of application we give a simple proof of the celebrated theorem of BrΓ©zis and Wainger concerning a limiting case of a Sobolev imbedding theorem.
Criteria for strict monotonicity, lower local uniform monotonicity, upper local uniform monotonicity and uniform monotonicity of a Musielak Orlicz space endowed with the Amemiya norm and its subspace of order continuous elements are given in the cases of nonatomic and the counting measure space. To
Two notions of local precompactness in the realm of fuzzy convergence spaces are investigated. It is shown that the property of local precompactness possesses a ''good extension.'' Moreover, for each given fuzzy convergence space, there exists a coarsest locally precompact space which is finer than