## Abstract The aim of this note is to study the spectral properties of the LUECKE's class __R__ of operators __T__ such that β(__T β zI__)^β1^β=1/__d__(__z, W__(__T__)) for all __z__β__CLW__(__T__), where __CLW__(__T__) is the closure of the numerical range __W__(__T__) of __T__ and __d__(__z, W__
On a class of operators for expert systems
β Scribed by G. Mayor; J. Torrens
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 348 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
Let H=L 2 ((0, ), dx), and K \* f (x)= f (\*x), for \*>0, f # H. An invariant operator on H is one commuting with all the K \* . A skew root is a self-adjoint, unitary operator on H satisfying T 2 =I, and TK \* =K \* \*T, for all \*>0. A generator g is an element of H such that the smallest, closed
In this note we give the L β«ήβ¬ = β«ήβ¬ boundedness of a class of maximal Ε½ q . 2 Ε½ ny 1 my1 . singular integral operators with kernel function β in L log L S = S .
## Abstract In 1980, Gasymov showed that nonβselfβadjoint Hill operators with complexβvalued periodic potentials of the type $ V(x) = \sum ^{\infty} \_{k=1} a\_{k} e^{ikx} $, with $ \sum ^{\infty} \_{k=1} \vert a\_{k} \vert < \infty $, have spectra [0, β). In this note, we provide an alternative an