dc.contributor.author |
Kushpel, A.
|
|
dc.contributor.author |
Taş, Kenan
|
|
dc.date.accessioned |
2020-12-24T09:13:59Z |
|
dc.date.available |
2020-12-24T09:13:59Z |
|
dc.date.issued |
2021-02 |
|
dc.identifier.citation |
Kushpel, A.; Taş, Kenan (2021). "The radii of sections of origin-symmetric convex bodies and their applications", Journal of Complexity, Vol. 62. |
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dc.identifier.issn |
0885-064X |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4387 |
|
dc.description.abstract |
LetVandWbe any convex and origin-symmetric bodies inRn.AssumethatforsomeA∈L(Rn→Rn),detA̸=0,Viscontainedin the ellipsoidA−1Bn(2), whereBn(2)is the unit Euclidean ball. WegivealowerboundfortheW-radiusofsectionsofA−1Vintermsof the spectral radius ofA∗Aand the expectations of∥·∥Vand∥·∥Wowith respect to Haar measure onSn−1⊂Rn. It is shownthattherespectiveexpectationsareboundedasn→∞inmanyimportant cases. As an application we offer a new method ofevaluation ofn-widths of multiplier operators. As an examplewe establish sharp orders ofn-widths of multiplier operatorsΛ:Lp(Md)→Lq(Md), 1<q≤2≤p<∞on compacthomogeneous Riemannian manifoldsMd. Also, we apply theseresults to prove the existence of flat polynomials onMd. |
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dc.language.iso |
eng |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Convex Body |
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dc.subject |
Volume |
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dc.subject |
Multiplier |
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dc.subject |
Width |
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dc.title |
The radii of sections of origin-symmetric convex bodies and their applications |
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dc.type |
article |
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dc.relation.journal |
Journal of Complexity |
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dc.contributor.authorID |
4971 |
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dc.identifier.volume |
62 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, İngiliz Dili ve Edebiyatı Bölümü |
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