Set of sums of conditionally convergent series in Banach spaces
β Scribed by M. I. Ostrovskii
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 481 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
1. Introduction. Let (X,) be a sequence of real valued independent and identically distributed random variables (r. v.) with espactation 0 and finite second moment 02. Further, let ( N n ) be a sequence of random integers satisfying N,/n -. t where z is a positive r.v. Then the celebrated result of