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BEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE

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dc.contributor.authorAron, Richard M.
dc.contributor.authorCaliskan, Erhan
dc.contributor.authorGarcia, Domingo
dc.contributor.authorMaestre, Manuel
dc.date.accessioned2026-06-27T13:48:58Z
dc.date.issued2016
dc.description.abstractWe study the behavior of holomorphic mappings on p-compact sets in Banach spaces. We show that the image of a p-compact set by an entire mapping is a p-compact set. Some results related to the localization of p-compact sets in the predual of homogeneous polynomials are also obtained. Finally, the size of p-compactness of the image of the unit ball by p-compact linear operators is studied.en
dc.description.sponsorshipdfd
dc.description.sponsorshipMICINN [MTM2011-22417]
dc.description.sponsorshipMINECO [MTM2014-57838-C2-2-P]
dc.description.sponsorshipTUBITAK-The Scientific and Technological Research Council of Turkey
dc.description.sponsorship[Prometeo II/2013/013]
dc.description.urihttps://doi.org/10.1090/tran/6499
dc.identifier.doi10.1090/tran/6499
dc.identifier.eissn1088-6850
dc.identifier.endpage4871
dc.identifier.issn0002-9947
dc.identifier.issue7
dc.identifier.startpage4855
dc.identifier.urihttps://hdl.handle.net/20.500.14981/55111
dc.identifier.volume368
dc.identifier.wos000374000400011
dc.language.isoeng
dc.publisherAMER MATHEMATICAL SOC
dc.relation.ispartofTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.rightsopenAccess
dc.subjectBanach spaces
dc.subjectp-compact sets
dc.subjecthomogeneous polynomials
dc.subjectholomorphic mappings
dc.subjectAPPROXIMATION PROPERTY
dc.subjectOPERATORS
dc.subjectSUBSPACES
dc.subjectADJOINTS
dc.subjectL(P)
dc.subjectMathematics
dc.titleBEHAVIOR OF HOLOMORPHIC MAPPINGS ON p-COMPACT SETS IN A BANACH SPACE
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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