## Abstract Spaces of Lorentz type called OrliczβLorentz spaces are studied. There are given necessary and sufficient conditions for the spaces to be order continuous, separable, __KB__βspaces and to contain isometric or isomorphic copy of __l__β or __c__~0~. Moreover a criterion for strict convexi
Some remarks on submultiplicative Orlicz functions
β Scribed by H. Hudzik; L. Maligranda
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 447 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0019-3577
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π SIMILAR VOLUMES
The aim of this note is to study the IP-complemented subspaces in ORLICZ function spaces LV(0, co) over the infinite interval (0, co). Several results previously given by the authors in ([H-R,]) for the ORLICZ spaces 1, and Lq [O, 11 are extended to the class of ORLICZ function spaces Lv(O, 00). Th
The study of the distribution of general multiplicative functions on arithmetic progressions is, largely, an open problem. We consider the simplest instance of this problem and establish an essentially the best possible result of the form where f is a nonnegative multiplicative function and (a, q)=