On the rate of convergence of series of banach space valued random elements
β Scribed by Andrew Rosalsky; Joseph Rosenblatt
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 576 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We obtain complete convergence results for arrays of rowwise independent Banach space valued random elements. In the main result no assumptions are made concerning the geometry of the underlying Banach space. As corollaries we obtain a result on complete convergence in stable type p Banach spaces an
We show that any series Γ K of operators in L X, Y that is unconditionally n n convergent in the weak operator topology and satisfies the condition that Γ K n g F n is a compact operator for every index set F : β«ήβ¬ is unconditionally convergent in the uniform operator topology if and only if X \*, t