Existence of continuous right inverses to linear mappings in finite-dimensional geometry

• A linear mapping of a compact convex subset of  a finite-dimensional vector space always possesses a right inverse,  but may lack a continuous right inverse, even if the set is smoothly  bounded.  Examples showing this are given, as well as conditions  guaranteeing the existence of a continuous right  inverse.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Linear mapping

Continuous right inverse

Projections

Finite-dimensional vector spaces

Publication and Content Type

ref (subject category)

art (subject category)