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
✦ LIBER ✦
A Dirac Type Operator on the Non-Commutative Disk
✍ Scribed by Alan L. Carey; Sławomir Klimek; Krzysztof P. Wojciechowski
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 184 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
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## By THOMAS FRIEDRICH of Berlin (Eingegangen am 9.9. 1980) Let M\* he a cony'act RIEMANNian spin inanifold with positive scalar curvature H and let R, denote its minimum. Consider the DIRAC operator D : r ( S ) + r ( S ) acting on sections of the associated spinor bundle S. If I.\* is the first p