The uniqueness of the adjoint operation. II
✍ Scribed by Scott H. Hochwald
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 768 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0024-3795
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📜 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 weak‐operator totally bounded. This result is then used to prove that the weak‐operator continuity of the mapping __T__ → __AT__ on __B__~1~(__H__) is
The main purpose of this paper is to give some natural relations between the entropy numbers of an operator and those of its adjoint. This problem has attracted some recent attention (of. [ll], 14.3. 6 and[a]). Typically, we shall consider inequalities which allow a correction term. We obtain our fi