Let R R be a ring of subsets of a nonempty set β and βΊ R R the Banach space of uniform limits of sequences of R R-simple functions in β. Let X be a quasicom-Ε½ . plete locally convex Hausdorff space briefly, lcHs . Given a bounded X-valued Ε½ . vector measure m on R R, the concepts of m-integrability
A generalization of a theorem of duchon on products of vector measures
β Scribed by Charles Swartz
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 404 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The work is devoted to the calculation of asymptotic value of the choice number of the complete r-partite graph K m \* r = K m,. ..,m with equal part size m. We obtained the asymptotics in the case ln r = o(ln m). The proof generalizes the classical result of A.L. Rubin for the case r = 2.
In this article we investigate the location of the null sets of generalized Ε½ . pseudo-derivatives of the product or quotient of abstract polynomials. Some special cases of this general problem were studied by Walsh as geometry of polynomials in the complex plane. One of our two results deduces an i