The purpose of this paper is to study when a weight on an O U -algebra M M on a dense subspace D D in a Hilbert space H H is a trace weighted by a positive self-adjoint operator, that is, when there exists a positive self-adjoint operator β
On representation and approximation of operations in Boolean algebras
β Scribed by I. R. Goodman; Vladik Kreinovich
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 78 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0884-8173
- DOI
- 10.1002/int.1028
No coin nor oath required. For personal study only.
β¦ Synopsis
Several universal approximation and universal representation results are known for non-Boolean multivalued logics such as fuzzy logics. In this paper, we show that similar results can be proven for multivalued Boolean logics as well.
π SIMILAR VOLUMES
The purpose of this paper is to obtain necessary and sufficient conditions for maximum defect spline approximation methods with uniform meshes to be stable. The methods are applied to operators belonging to the closed subalgebra of L(L 2 (IR)) generated by operators of multiplication by piecewise co
I ) The second author's contribution to the paper comes out of his Ph. D. dissertation written 21' under the supervision of Prof. TAKEUTI to whom the author is grateful. Math. (2) 94 (1971), 201 -245.
## Abstract We consider the sets definable in the countable models of a weakly oβminimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is pβ__Ο__βcategorical), in other words when each of these definable sets adm
This paper is concerned with the geometry of minimal involutive homogeneous varieties in complex affine 2n-space and its application to the study of the representation theory of the nth complex Weyl algebra A n . The main results are the existence of minimal involutive homogeneous varieties of any g