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.
Managing Editor: Grundhöfer, Theo / Strambach, Karl
null Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Penttila, Tim / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Sommese, Andrew J. / Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard / Rosehr, Nils / Bannai, Eiichi
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Valuations on function spaces
1Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien, Wiedner Hauptstraße 8-10/104, 1040 Wien, Austria
Citation Information: Advances in Geometry. Volume 11, Issue 4, Pages 745–756, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advgeom.2011.039, August 2011
Publication History:
Received: 04/08/2011;
Published Online: 17/04/2012
Key words.: Valuation; Lebesgue space; Sobolev space; LYZ operator; Fisher information matrix
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