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On a Functional Operation Generating Convex Functions, Part 2: Algebraic Properties

✍ Scribed by P. Maréchal


Book ID
106432576
Publisher
Springer
Year
2005
Tongue
English
Weight
96 KB
Volume
126
Category
Article
ISSN
0022-3239

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Positive Functionals on General Operator
✍ V. Lomonosov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 57 KB

We show that any weakly closed algebra of bounded operators acting on a Banach space and different from the algebra of all bounded operators admits positive vector-functionals continuous in the essential operator norm. ᮊ 2000