On the classification of the Banach spaces whose duals are L1 spaces
β Scribed by Joram Lindenstrauss; Daniel E Wulbert
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 909 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract For Ξ© an open subset of IR^N^ and 1 < __p__ < β, we prove that any complemented subspace __E__ of __L__^p^~loc~ (Ξ©) contains either a complemented copy of (__l__^2^)^IN^ or a complemented copy of (__l__^p^)^IN^, provided βοΈ __F__ βοΈ and Ο and βοΈ Οβ __F__ with __F__ Banach space. We also
This paper shows that every w\*-lower semicontinuous Lipschitzian convex function on the dual of a locally uniformly convexifiable Banach space, in particular, the dual of a separable Banach space, can be uniformly approximated by a generically FrΓ©chet differentiable w\*-lower semicontinuous monoton
The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.
A linear space of order n is a pair (V, a), where V is a finite set of n elements and B is a set of subsets of V such that each 2-subset of V is contained in exactly one element of B. The exact number of nonisomorphic linear spaces was known up to order 10. Betten and Braun [l] found that there exis