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Asymptotic estimate of absolute projection constants

2013
journal article
article
10.4467/20843828AM.13.004.2280
Journal
Universitatis Iagellonicae Acta Mathematica
7
Author
Lewicki Grzegorz
Issue
51
Pages
51-60
ISSN
0083-4386
eISSN
2084-3828
Publication series title
Zeszyty Naukowe Uniwersytetu Jagiellońskiego
Serie's ISSN
0860-0139
Number of serie
1340
Keywords in English

absolute projection constant

minimal projection

symmetric spaces

Language
English
Journal language
English
Abstract in English

In this note we construct a sequence of real, k-dimensional symmetric spaces Y k satisfying lim inf k Sk = p k lim inf k (Y k; l1)= p k > max w2[0;a2] h(w) > 1=(2 p 2= ); where Sk is de ned by (4) and h(w) = a21 p 2= + 2a1 q a22 w2 + w q a22 w2 with a1 = 1=(2 p 2= ) and a2 = 1 a1. This improves the lower bound obtained in [3], Th. 5.3 by maxw2[0;a2] h(w).

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
cris.lastimport.wos2024-04-09T19:19:35Z
dc.abstract.enIn this note we construct a sequence of real, k-dimensional symmetric spaces Y k satisfying lim inf k Sk = p k lim inf k (Y k; l1)= p k > max w2[0;a2] h(w) > 1=(2 p 2= ); where Sk is de ned by (4) and h(w) = a21 p 2= + 2a1 q a22 w2 + w q a22 w2 with a1 = 1=(2 p 2= ) and a2 = 1 a1. This improves the lower bound obtained in [3], Th. 5.3 by maxw2[0;a2] h(w).pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorLewicki, Grzegorz - 129946 pl
dc.date.accessioned2016-04-25T09:49:03Z
dc.date.available2016-04-25T09:49:03Z
dc.date.issued2013pl
dc.date.openaccess12
dc.description.accesstimepo opublikowaniu
dc.description.number51pl
dc.description.physical51-60pl
dc.description.seriesZeszyty Naukowe Uniwersytetu Jagiellońskiego
dc.description.seriesnumber1340
dc.description.versionostateczna wersja wydawcy
dc.identifier.doi10.4467/20843828AM.13.004.2280pl
dc.identifier.eissn2084-3828pl
dc.identifier.issn0083-4386pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.seriesissn0860-0139
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/24601
dc.languageengpl
dc.language.containerengpl
dc.rightsDozwolony użytek utworów chronionych
dc.rights.licenceOTHER
dc.rights.urihttp://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf
dc.share.typeotwarte czasopismo
dc.subject.enabsolute projection constantpl
dc.subject.enminimal projectionpl
dc.subject.ensymmetric spacespl
dc.subtypeArticlepl
dc.titleAsymptotic estimate of absolute projection constantspl
dc.title.journalUniversitatis Iagellonicae Acta Mathematicapl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T19:19:35Z
dc.abstract.enpl
In this note we construct a sequence of real, k-dimensional symmetric spaces Y k satisfying lim inf k Sk = p k lim inf k (Y k; l1)= p k > max w2[0;a2] h(w) > 1=(2 p 2= ); where Sk is de ned by (4) and h(w) = a21 p 2= + 2a1 q a22 w2 + w q a22 w2 with a1 = 1=(2 p 2= ) and a2 = 1 a1. This improves the lower bound obtained in [3], Th. 5.3 by maxw2[0;a2] h(w).
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Lewicki, Grzegorz - 129946
dc.date.accessioned
2016-04-25T09:49:03Z
dc.date.available
2016-04-25T09:49:03Z
dc.date.issuedpl
2013
dc.date.openaccess
12
dc.description.accesstime
po opublikowaniu
dc.description.numberpl
51
dc.description.physicalpl
51-60
dc.description.series
Zeszyty Naukowe Uniwersytetu Jagiellońskiego
dc.description.seriesnumber
1340
dc.description.version
ostateczna wersja wydawcy
dc.identifier.doipl
10.4467/20843828AM.13.004.2280
dc.identifier.eissnpl
2084-3828
dc.identifier.issnpl
0083-4386
dc.identifier.projectpl
ROD UJ / P
dc.identifier.seriesissn
0860-0139
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/24601
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights
Dozwolony użytek utworów chronionych
dc.rights.licence
OTHER
dc.rights.uri
http://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf
dc.share.type
otwarte czasopismo
dc.subject.enpl
absolute projection constant
dc.subject.enpl
minimal projection
dc.subject.enpl
symmetric spaces
dc.subtypepl
Article
dc.titlepl
Asymptotic estimate of absolute projection constants
dc.title.journalpl
Universitatis Iagellonicae Acta Mathematica
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Lewicki, Grzegorz

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