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Valuations on function spaces
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Monika Ludwig
Published/Copyright:
August 28, 2011
Abstract
A short survey is given on classification results for valuations on function spaces. Real valued, matrix valued and convex body valued valuations on Lebesgue spaces and on Sobolev spaces are considered.
Received: 2011-08-04
Published Online: 2011-08-28
Published in Print: 2011-November
© de Gruyter 2011
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Keywords for this article
Valuation;
Lebesgue space;
Sobolev space;
LYZ operator;
Fisher information matrix
Articles in the same Issue
- Quasigeodesics and farthest points on convex surfaces
- The geometry of canal surfaces and the length of curves in de Sitter space
- On the mutual position of two irreducible conics in PG(2, q), q odd
- On the symmetric average of a convex body
- Ample vector bundles and polarized manifolds of sectional genus three
- Flat Laguerre planes of Kleinewillinghöfer type III.B
- Quotients of hypersurfaces in weighted projective space
- Characterizing the mixed volume
- Uniqueness of lattice packings and coverings of extreme density
- On the classification of convex lattice polytopes
- Blichfeldt-type inequalities and central symmetry
- Valuations on function spaces
