Generalized metatheorems on the extractability of uniform bounds in functional analysis

Gerhardy, Philipp; Kohlenbach, Ulrich

doi:10.4230/DagSemProc.05021.13

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Generalized metatheorems on the extractability of uniform bounds in functional analysis

Authors Philipp Gerhardy, Ulrich Kohlenbach

Part of: Volume: Dagstuhl Seminar Proceedings, Volume 5021
Part of: Series: Dagstuhl Seminar Proceedings (DagSemProc)
License: Creative Commons Attribution 4.0 International license
Publication Date: 2006-01-17

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Document Identifiers

DOI: 10.4230/DagSemProc.05021.13
URN: urn:nbn:de:0030-drops-4318

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Keywords

Proof mining
majorization

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Abstract

Recently U.Kohlenbach proved general metatheorems for the extraction of (uniform) bounds from classical
proofs in functional analysis. The proof was based on
a combination of GÃƒÂ¶del's functional interpretation
and Bezem's strong majorization relation. We present
a generalization of the majorization relation which
allows to generalize Kohlenbach's metatheorems 
significantly. Finally, we will discuss some examples
which are now covered by the new metatheorems.

Cite As Get BibTex

Philipp Gerhardy and Ulrich Kohlenbach. Generalized metatheorems on the extractability of uniform bounds in functional analysis. In Mathematics, Algorithms, Proofs. Dagstuhl Seminar Proceedings, Volume 5021, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006) https://doi.org/10.4230/DagSemProc.05021.13

Author Details

Philipp Gerhardy

Ulrich Kohlenbach

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