A Note on Harnack Inequalities and Propagation Sets for a Class of Hypoelliptic Operators
✍ Scribed by Chiara Cinti; Kaj Nyström; Sergio Polidoro
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 398 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0926-2601
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## Abstract The aim of this note is to study the spectral properties of the LUECKE's class __R__ of operators __T__ such that ‖(__T – zI__)^−1^‖=1/__d__(__z, W__(__T__)) for all __z__∉__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__
We use the concept of directed algebra (closely related to De Morgan triplets) to modelize connectives in expert systems when linguistic terms are introduced. Mainly this article describes all directed algebra structures on a totally ordered finite set.