Infinitesimal operator
From Encyclopedia of Mathematics - Reading time: 1 min
The name for linear operators that are differentials of mappings of certain classes (cf. Differential). Thus, on a differentiable manifold an infinitesimal operator, or infinitesimal transformation, is the same as a vector field; in the theory of semi-groups (of operators, of transformations) it is the same as an (infinitesimal) generating operator (cf. Generating operator of a semi-group).
How to Cite This Entry: Infinitesimal operator (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Infinitesimal_operator10 views | ↧ Download this article as ZWI file
EncycloReader
is supported by the 
KSF