DC Field | Value | Language |
---|---|---|
dc.contributor.author | In S.P. | ko |
dc.date.accessioned | 2013-03-06T10:24:39Z | - |
dc.date.available | 2013-03-06T10:24:39Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | MATHEMATISCHE NACHRICHTEN, v.281, no.4, pp.561 - 574 | - |
dc.identifier.issn | 0025-584X | - |
dc.identifier.uri | http://hdl.handle.net/10203/86683 | - |
dc.description.abstract | It is shown that for any locally compact abelian group G and 1 <= p <= 2, the Fourier type p norm with respect to G of a bounded linear operator T between Banach spaces, denoted by parallel to T vertical bar FT(p)(G)parallel to, satisfies parallel to T vertical bar FT(p)(G)parallel to <= parallel to T vertical bar FT(p)(A)parallel to where A is the direct product of Z(2), Z(3), Z(4), ... It is also shown that if G is not of bounded order then C(p)(n) parallel to T vertical bar FT(p)(T)parallel to <= parallel to T vertical bar FT(p)(G)parallel to, where T is the circle group, n is a nonnegative integer and C(p) = inf(theta is an element of R)(Sigma(k is an element of Z)vertical bar sin theta/theta + k pi vertical bar p'). From these inequalities, for any locally compact abelian group G parallel to T vertical bar FT(2)(G)parallel to <= parallel to T vertical bar FT(2)(T)parallel to, and moreover if G is not of bounded order then parallel to T vertical bar FT(2)(G)parallel to <= parallel to T vertical bar FT(2)(T)parallel to. The Hilbertian property and B-convexity are discussed in the framework of Fourier type p norms. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. | - |
dc.language | English | - |
dc.publisher | WILEY-BLACKWELL | - |
dc.subject | BANACH-SPACES | - |
dc.subject | ABELIAN-GROUPS | - |
dc.subject | OPERATORS | - |
dc.subject | COEFFICIENTS | - |
dc.subject | RESPECT | - |
dc.subject | SERIES | - |
dc.title | Classification and geometric aspects of vector valued Fourier transforms | - |
dc.type | Article | - |
dc.identifier.wosid | 000255337700008 | - |
dc.identifier.scopusid | 2-s2.0-55549103397 | - |
dc.type.rims | ART | - |
dc.citation.volume | 281 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 561 | - |
dc.citation.endingpage | 574 | - |
dc.citation.publicationname | MATHEMATISCHE NACHRICHTEN | - |
dc.identifier.doi | 10.1002/mana.200310625 | - |
dc.contributor.localauthor | In S.P. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Banach space | - |
dc.subject.keywordAuthor | Dual group | - |
dc.subject.keywordAuthor | Fourier transform | - |
dc.subject.keywordAuthor | Locally compact abelian group | - |
dc.subject.keywordAuthor | Operator | - |
dc.subject.keywordAuthor | Vector valued function | - |
dc.subject.keywordPlus | BANACH-SPACES | - |
dc.subject.keywordPlus | ABELIAN-GROUPS | - |
dc.subject.keywordPlus | OPERATORS | - |
dc.subject.keywordPlus | COEFFICIENTS | - |
dc.subject.keywordPlus | RESPECT | - |
dc.subject.keywordPlus | SERIES | - |
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