Complemented Copies of C₀ in Spaces of Compact Operators
We give a simple proof of a theorem of Cembranos, Saab and Saab to the effect that if X and Y are infinite dimensional Banach spaces, one of which contains a copy of c₀, then the injective tensor product$X\check{\otimes }Y$contains a complemented copy of c₀. We also extend the theorem to spaces of c...
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Published in: | Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences Vol. 91A; no. 2; pp. 239 - 241 |
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Main Author: | |
Format: | Journal Article |
Language: | English |
Published: |
Royal Irish Academy
01-01-1991
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Subjects: | |
Online Access: | Get full text |
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Summary: | We give a simple proof of a theorem of Cembranos, Saab and Saab to the effect that if X and Y are infinite dimensional Banach spaces, one of which contains a copy of c₀, then the injective tensor product$X\check{\otimes }Y$contains a complemented copy of c₀. We also extend the theorem to spaces of compact operators. |
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ISSN: | 0035-8975 |