Some problems on bases in Banach and frechet spaces
✍ Scribed by A. Pełczyński
- Book ID
- 112885120
- Publisher
- The Hebrew University Magnes Press
- Year
- 1964
- Tongue
- English
- Weight
- 325 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let F be a Banach or a nuclear Frechet space isomorphic to its square. Then Ž2 . P F , the space of 2-homogeneous polynomials on F, is isomorphic to the space Ž . of continuous linear operators L F, FЈ , both of them endowed with the topology of uniform convergence on bounded sets. In this note we p
## Abstract A Fréchet space __E__ is quasi‐reflexive if, either dim(__E__″/__E__) < ∞, or __E__″[__β__(__E__″,__E__′)]/__E__ is isomorphic to __ω__. A Fréchet space __E__ is totally quasi‐reflexive if every separated quotient is quasi‐reflexive. In this paper we show, using Schauder bases, that __E