## Abstract We give conditions for the convergence of approximate identities, both pointwise and in norm, in variable __L__ ^__p__^ spaces. We unify and extend results due to Diening [8], Samko [18] and Sharapudinov [19]. As applications, we give criteria for smooth functions to be dense in the va
Positive approximate identities and lattice-ordered dual spaces
β Scribed by Bertram Walsh
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 325 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The classical orderβtheoretical characterizations of compact and connected chains, respectively, are extended to wider classes of lattices, using the fact that compactness and (pathβ) connectedness of maximal chains are closely related to the corresponding properties of the whole lattic
This paper is concerned with an operator equation on ordered Banach spaces. The existence and uniqueness of its' positive solutions is obtained by using the properties of cones and monotone iterative technique. As applications, we utilize the results obtained in this paper to study the existence and