In this paper we study some aspects of new concepts introduced by D. Carf; the new concepts are: 1) the coordinate operator with respect to an ultralinearly independent family; 2) the product of two SL-families; 3) the invertible family; 4) the superposition of a family with respect to a family; These new concepts permit a more deeply study of the SL - ultradifferentiable manifolds and some problems faced by linear algebra, as the theory of system, theory of decision, the optimal control, the quantum mechanics and so on.
The coordinate operator in SL-ultralinear algebra
GERMANA', CLARA;CARFI', David
2000-01-01
Abstract
In this paper we study some aspects of new concepts introduced by D. Carf; the new concepts are: 1) the coordinate operator with respect to an ultralinearly independent family; 2) the product of two SL-families; 3) the invertible family; 4) the superposition of a family with respect to a family; These new concepts permit a more deeply study of the SL - ultradifferentiable manifolds and some problems faced by linear algebra, as the theory of system, theory of decision, the optimal control, the quantum mechanics and so on.File in questo prodotto:
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