conical neighborhood

Let V be a real (or complex) topological vector spaceMathworldPlanetmath and X a subset of V. A conical neighborhood of X is a cone in V which is a neighborhoodMathworldPlanetmath of X.

In the theory of pseudodifferential operators and in microlocal analysis, we have to consider conical neighborhood of vectors located in some fiber of a vector bundle.

Title conical neighborhood
Canonical name ConicalNeighborhood
Date of creation 2013-03-22 15:19:33
Last modified on 2013-03-22 15:19:33
Owner urelement (1799)
Last modified by urelement (1799)
Numerical id 7
Author urelement (1799)
Entry type Definition
Classification msc 46A55
Synonym conic neighborhood
Defines conical neighborhood