<?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>2026-06-10T02:11:10Z</responseDate><request verb="GetRecord" identifier="oai:riubu.ubu.es:10259/9782" metadataPrefix="mods">https://riubu.ubu.es/oai/request</request><GetRecord><record><header><identifier>oai:riubu.ubu.es:10259/9782</identifier><datestamp>2025-01-17T09:28:00Z</datestamp><setSpec>com_10259_6229</setSpec><setSpec>com_10259_4534</setSpec><setSpec>com_10259.4_106</setSpec><setSpec>com_10259_2604</setSpec><setSpec>col_10259_6230</setSpec></header><metadata><mods:mods xmlns:mods="http://www.loc.gov/mods/v3" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
<mods:name>
<mods:namePart>Manzano Rodríguez, Antonio</mods:namePart>
</mods:name>
<mods:name>
<mods:namePart>Mastyło, Mieczysław</mods:namePart>
</mods:name>
<mods:extension>
<mods:dateAvailable encoding="iso8601">2024-12-13T12:48:19Z</mods:dateAvailable>
</mods:extension>
<mods:extension>
<mods:dateAccessioned encoding="iso8601">2024-12-13T12:48:19Z</mods:dateAccessioned>
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<mods:originInfo>
<mods:dateIssued encoding="iso8601">2024-12</mods:dateIssued>
</mods:originInfo>
<mods:identifier type="issn">2662-2009</mods:identifier>
<mods:identifier type="uri">http://hdl.handle.net/10259/9782</mods:identifier>
<mods:identifier type="doi">10.1007/s43036-024-00410-0</mods:identifier>
<mods:identifier type="essn">2538-225X</mods:identifier>
<mods:abstract>We study weakly compact multilinear operators. We prove a variant of Gantmacher’s weak compactness theorem for multilinear operators. We also present Lions–Peetre type results on weak compactness interpolation for multilinear operators. Furthermore, we provide an analogue of Persson’s result on interpolation of weakly compact operators under the assumption that the target Banach couple satisfies a certain weakly compact approximation property.</mods:abstract>
<mods:language>
<mods:languageTerm>eng</mods:languageTerm>
</mods:language>
<mods:accessCondition type="useAndReproduction">http://creativecommons.org/licenses/by/4.0/</mods:accessCondition>
<mods:accessCondition type="useAndReproduction">info:eu-repo/semantics/openAccess</mods:accessCondition>
<mods:accessCondition type="useAndReproduction">Atribución 4.0 Internacional</mods:accessCondition>
<mods:subject>
<mods:topic>Multilinear operator</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Weak compactness</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Interpolation</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Factorization</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Tensor product</mods:topic>
</mods:subject>
<mods:titleInfo>
<mods:title>On weakly compact multilinear operators and interpolation</mods:title>
</mods:titleInfo>
<mods:genre>info:eu-repo/semantics/article</mods:genre>
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