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Algebraic properties and the finite rank problem for Toeplitz operators on the Segal–Bargmann space

✍ Scribed by Wolfram Bauer; Trieu Le


Book ID
113710097
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
245 KB
Volume
261
Category
Article
ISSN
0022-1236

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The ∑-Property for Positive Linear Funct
✍ P. M. Alberti 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 778 KB

In this paper we are dealing with positive linear functionals on W\*-algebras. We introduce the notion of a positive linear functional with 2-property (see Definition 1.1). It is shown that each positive linear functional on a W\*-algebra possesses the 2property. This fact allows to give a short pr