| dc.contributor.author | Saab, P. | |
| dc.contributor.author | Robdera, M.A. | |
| dc.date.accessioned | 2012-05-09T13:02:35Z | |
| dc.date.available | 2012-05-09T13:02:35Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Saab, P. & Robdera, M.A. (2011) Vector measures of bounded semivariation and associated convolution operators, Glasgow Mathematical Journal. Vol. 53, No. 2, pp.333–340 | en_US |
| dc.identifier.issn | 0017-0895 (Print) | |
| dc.identifier.issn | 1469-509X (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10311/1004 | |
| dc.description | the symbols on the abstract may differ from the original script | en_US |
| dc.description.abstract | Let G be a compact metrizable abelian group, and let X be a Banach space. We characterize convolution operators associated with a regular Borel X-valued measure of bounded semivariation that are compact (resp; weakly compact) from
L1(G), the space of integrable functions on G into L1(G)ˇ⊗X, the injective tensor
product of L1(G) and X. Along the way we prove a Fourier Convergence theorem for vector measures of relatively compact range that are absolutely continuous with
respect to the Haar measure. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Glasgow Mathematical Journal Trust, http://journals.cambridge.org/action/displayJournal?jid=GMJ | en_US |
| dc.subject | Vector measures | en_US |
| dc.subject | Bounded semivariations | en_US |
| dc.subject | Convolution operators | en_US |
| dc.title | Vector measures of bounded semivariation and associated convolution operators | en_US |
| dc.type | Published Article | en_US |
| dc.link | http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ53_02%2FS0017089510000741a.pdf&code=f2f129220e2173675367dab8427fc72d | en_US |
