Interpolation of vector-valued Banach lattices and Calderón-Lozanovskii construction

Document identifier: oai:dalea.du.se:1928
Access full text here:10.1002/1522-2616(200107)227:1<63::AID-MANA63>3.0.CO;2-V
Keyword: Natural Sciences, Mathematics, Naturvetenskap, Matematik, Komplexa system - mikrodataanalys
Publication year: 2001
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Abstract:

We establish the connection between the variants of Schechter's complex interpolation methods, Peetre-Gustavsson's interpolation methods, and the Calderon-Lozanovskii construction on vector-valued Banach lattices. As applications, we show that the uniform convexity and the UMD property are stable byinterpolation.

Authors

Ming Fan

Högskolan Dalarna; Matematik/tillämpad matematik
Other publications >>

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    header: 
        identifier: oai:dalea.du.se:1928
        datestamp: 2021-04-15T13:13:00Z
        setSpec: SwePub-du
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                version: 3.7
            recordInfo: 
                recordContentSource: du
                recordCreationDate: 2006-03-08
            identifier: 
                http://urn.kb.se/resolve?urn=urn:nbn:se:du-1928
                10.1002/1522-2616(200107)227:1<63::AID-MANA63>3.0.CO;2-V
            titleInfo: 
                @attributes: 
                    lang: eng
                title: Interpolation of vector-valued Banach lattices and Calderón-Lozanovskii construction
            abstract: 
We establish the connection between the variants of Schechter's complex interpolation methods Peetre-Gustavsson's interpolation methods and the Calderon-Lozanovskii construction on vector-valued Banach lattices. As applications we show that the uniform convexity and the UMD property are stable byinterpolation.

            subject: 
                    @attributes: 
                        lang: eng
                        authority: uka.se
                    topic: 
                        Natural Sciences
                        Mathematics
                    @attributes: 
                        lang: swe
                        authority: uka.se
                    topic: 
                        Naturvetenskap
                        Matematik
                    @attributes: 
                        lang: swe
                        authority: du
                    topic: Komplexa system - mikrodataanalys
                    genre: Research subject
            language: 
                languageTerm: eng
            genre: 
                publication/journal-article
                ref
            note: 
                Published
                1
            name: 
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                    type: personal
                    authority: du
                namePart: 
                    Fan
                    Ming
                role: 
                    roleTerm: aut
                affiliation: 
                    Högskolan Dalarna
                    Matematik/tillämpad matematik
                nameIdentifier: fmi
            originInfo: 
                dateIssued: 2001
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                    type: host
                titleInfo: 
                    title: Mathematische Nachrichten
                identifier: 
                    0025-584X
                    1522-2616
                part: 
                    detail: 
                            @attributes: 
                                type: volume
                            number: 227
                            @attributes: 
                                type: issue
                            number: 1
                    extent: 
                        start: 63
                        end: 80
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            typeOfResource: text