The failure of Bernstein's theorem for polynomials on C(K) spaces
β Scribed by Andrew Tonge
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 118 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study and characterize the integral multilinear operators on a product of C K spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product Ο-algebra, generalizin
It is known that, for every (a n ) # l 2 (Z) there exists a function F # C(T) such that |a n | |F (n)| for every n # Z. We prove a noncommutative version: for every matrix A=(a ij ) such that sup i &(a ij ) j & l 2 and sup j &(a ij ) i & l 2 are finite, there exists a matrix (b ij ) defining a bound