Uniform factorization for p-compact sets of p-compact linear operators
| dc.contributor.author | Caliskan, Erhan | |
| dc.contributor.author | Keten, Aysegul | |
| dc.date.accessioned | 2024-02-23T14:12:51Z | |
| dc.date.available | 2024-02-23T14:12:51Z | |
| dc.date.issued | 2016 | |
| dc.department | NEÜ | en_US |
| dc.description.abstract | Obtaining a factorization of p-compact linear operators via universal Banach spaces, and using the lifting property of quotient maps for p-compact sets we prove a factorization result for relatively r-compact subsets of p-compact operators, where r >= 2, 1 <= p <= r < infinity. To apply our results to homogeneous polynomials, in particular, we show that relatively p-compact subsets of a Banach space of p-compact operators are collectively p-compact. (C) 2016 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | TUBITAK - The Scientific and Technological Research Council of Turkey | en_US |
| dc.description.sponsorship | The second author was supported by TUBITAK - The Scientific and Technological Research Council of Turkey. | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2016.01.030 | |
| dc.identifier.endpage | 1069 | en_US |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-84957427711 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 1058 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2016.01.030 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12452/12214 | |
| dc.identifier.volume | 437 | en_US |
| dc.identifier.wos | WOS:000370312500015 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press Inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal Of Mathematical Analysis And Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Banach Spaces | en_US |
| dc.subject | P-Compact Sets | en_US |
| dc.subject | P-Compact Linear Operators | en_US |
| dc.subject | Factorization | en_US |
| dc.subject | Tensor Product | en_US |
| dc.subject | Homogeneous Polynomials | en_US |
| dc.title | Uniform factorization for p-compact sets of p-compact linear operators | en_US |
| dc.type | Article | en_US |
