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Isometries on L-2(X) and monotone functions
dc.contributor.author | Boza Rocho, Santiago |
dc.contributor.author | Soria, Javier |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2015-04-22T11:07:17Z |
dc.date.created | 2014-02-01 |
dc.date.issued | 2014-02-01 |
dc.identifier.citation | Boza, S.; Soria, J. Isometries on L-2(X) and monotone functions. "Mathematische Nachrichten", 01 Febrer 2014, vol. 287, núm. 2-3, p. 160-172. |
dc.identifier.issn | 0025-584X |
dc.identifier.uri | http://hdl.handle.net/2117/27512 |
dc.description.abstract | We study necessary and sufficient conditions on a bounded operator T defined on the Hilbert space L-2(X) to be an isometry and show that, under suitable hypotheses, it suffices to restrict T to a smaller class of functions (e.g., if X = R+, to the cone of positive and decreasing functions). We also consider the problem of characterizing the sets Y subset of X for which the orthogonal projection of the operator T on L-2(Y) is also an isometry. Finally, we illustrate our results with several examples involving classical operators on different settings. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria |
dc.subject.lcsh | Isometrics (Mathematics) |
dc.subject.other | Isometries |
dc.subject.other | Hardy operator |
dc.subject.other | monotone functions |
dc.subject.other | Hardy operator |
dc.subject.other | Minus |
dc.subject.other | Decreasing functions |
dc.subject.other | Measure-spaces |
dc.subject.other | Inequalities |
dc.subject.other | Identity |
dc.subject.other | Cone |
dc.title | Isometries on L-2(X) and monotone functions |
dc.type | Article |
dc.subject.lemac | Transformacions (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. LARCA - Laboratori d'Algorísmia Relacional, Complexitat i Aprenentatge |
dc.identifier.doi | 10.1002/mana.201200346 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 15014122 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Boza, S.; Soria, J. |
local.citation.publicationName | Mathematische Nachrichten |
local.citation.volume | 287 |
local.citation.number | 2-3 |
local.citation.startingPage | 160 |
local.citation.endingPage | 172 |
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