<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-07T23:46:29Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/41996" metadataPrefix="rdf">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/41996</identifier><datestamp>2025-01-20T16:48:41Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</setSpec></header><metadata><rdf:RDF xmlns:rdf="http://www.openarchives.org/OAI/2.0/rdf/" xmlns:ow="http://www.ontoweb.org/ontology/1#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:ds="http://dspace.org/ds/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/rdf/ http://www.openarchives.org/OAI/2.0/rdf.xsd">
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      <dc:title>LFC bumps on separable Banach spaces</dc:title>
      <dc:creator>Jiménez Sevilla, María Del Mar</dc:creator>
      <dc:creator>Sánchez González, Luis</dc:creator>
      <dc:description>In this note we construct a C∞-smooth, LFC (Locally depending on Finitely many Coordinates) bump function, in every separable Banach space admitting a continuous, LFC bump function.</dc:description>
      <dc:date>2023-06-20T00:06:44Z</dc:date>
      <dc:date>2023-06-20T00:06:44Z</dc:date>
      <dc:date>2010</dc:date>
      <dc:type>journal article</dc:type>
      <dc:identifier>0022-247X</dc:identifier>
      <dc:identifier>10.1016/j.jmaa.2009.10.049</dc:identifier>
      <dc:identifier>https://hdl.handle.net/20.500.14352/41996</dc:identifier>
      <dc:identifier>http://www.sciencedirect.com/science/journal/0022247X</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:relation>MTM 2006-03531</dc:relation>
      <dc:relation>GR58/08-910626</dc:relation>
      <dc:relation>AP2007-00868</dc:relation>
      <dc:rights>open access</dc:rights>
      <dc:publisher>Elsevier</dc:publisher>
   </ow:Publication>
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