## Abstract We study the structure of complemented subspaces in Cartesian products __X__ × __Y__ of Köthe spaces __X__ and __Y__ under the assumption that every linear continuous operator from __X__ to __Y__ is bounded. In particular, it is proved that each non‐Montel complemented subspace with abs
✦ LIBER ✦
Complemented Subspaces of Spaces of Multilinear Forms and Tensor Products
✍ Scribed by Félix Cabello Sánchez
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 84 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Among other things, we show that L is isomorphic to a complemented q subspace of the space of multilinear forms on L = иии = L , where q G 1 is
given by 1rp q иии q1rp q 1rq s 1. The proof strongly depends on the L -1 n ϱ module structure of the spaces L .
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