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Absolute Equivalence and Dirac Operators of Commuting Tuples of Operators

✍ Scribed by John B. Conway; Jim Gleason

Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
203 KB
Volume
51
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

The Dirac Operator of a Commuting d-Tupl
The Dirac Operator of a Commuting d-Tuple
✍ William Arveson 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 186 KB

Given a commuting d-tuple T ¯=(T 1 , ..., T d ) of otherwise arbitrary operators on a Hilbert space, there is an associated Dirac operator D T ¯. Significant attributes of the d-tuple are best expressed in terms of D T ¯, including the Taylor spectrum and the notion of Fredholmness. In fact, all pro