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Continuity in the Coarse and Weak Shape Categories

✍ Scribed by Nikica Uglešić

Book ID
118777271
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
423 KB
Volume
9
Category
Article
ISSN
1660-5446

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Weak-operator Continuity and the Existen
Weak-operator Continuity and the Existence of Adjoints
✍ Douglas Bridges; Luminita Dediu 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 237 KB

## 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