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Complemented subspaces isomorphic tolpin tensor products and operator spaces

✍ Scribed by E. F. Oya

Publisher
SP MAIK Nauka/Interperiodica
Year
1992
Tongue
English
Weight
476 KB
Volume
33
Category
Article
ISSN
0037-4466

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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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## 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