On the local continuity of the Chebyshev operator
β Scribed by R. Hettich; H.Th. Jongen
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 540 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
## Abstract It is shown, within constructive mathematics, that the unit ball B~1~(__H__) of the set of bounded operators on a Hilbert space __H__ is weakβoperator totally bounded. This result is then used to prove that the weakβoperator continuity of the mapping __T__ β __AT__ on __B__~1~(__H__) is
We study the local lifting property for operator spaces. This is a natural noncommutative analogue of the Banach space local lifting property, but is very different from the local lifting property studied in C\*-algebra theory. We show that an operator space has the \*-local lifting property if and