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DTSTART;TZID=America/Los_Angeles:20260402T161500
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CREATED:20260327T214850Z
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UID:4063-1775146500-1775150100@colleges.claremont.edu
SUMMARY:Analysis Seminar: Restricted isometries and operator norms on finite-dimensional $L^p$-spaces (Alonso Delfín Ares de Parga\, CU Boulder)
DESCRIPTION:Abstract: An isometry between two normed vector spaces is a linear map that preserves the norm (i.e.\, the length of each output agrees with the length of its input). For the classical $p$-norms\, isometries have a very concrete description when $p\neq 2$: they are given by signed permutations of the coordinates. \nIn this talk\, I will present a generalization of this result to restricted isometries\, which are linear maps that preserve the norm only on a fixed subset of coordinates. I will discuss how this generalization could be used in the computation of certain $p$-operator norms\, a problem that is known to be NP-hard in general. \nThis talk includes joint work carried out as part of two REU projects in 2024 and 2025.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-restricted-isometries-and-operator-norms-on-finite-dimensional-lp-spaces-alonso-delfin-ares-de-parga-cu-boulder/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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