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N-Tuples in the Class A(N) and Factorization Properties

✍ Scribed by Frédéric Jaëck


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
116 KB
Volume
189
Category
Article
ISSN
0022-1236

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✦ Synopsis


The main purpose of this paper is to exhibit N-tuples of commuting operators (N \ 2) in the class A (N) (i.e., with an isometric wf-continuous H . (D N ) calculus) without the approximate factorization property.


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The n-ordered graphs: A new graph class
✍ Anthony Bonato; Jeannette Janssen; Changping Wang 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract For a positive integer __n__, we introduce the new graph class of __n__‐ordered graphs, which generalize partial __n__‐trees. Several characterizations are given for the finite __n__‐ordered graphs, including one via a combinatorial game. We introduce new countably infinite graphs __R__