An extension of Helson-Edwards theorem to Banach Modules
An extension of the Helson-Edwards theorem for the group algebras to Banach modules over commutative Banach algebras is given. This extension can be viewed as a generalization of Liu-Rooij-Wang's result for Banach modules over the group algebras.
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000248 |
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| _version_ | 1832552124460826624 |
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| author | Sin-Ei Takahasi |
| author_facet | Sin-Ei Takahasi |
| author_sort | Sin-Ei Takahasi |
| collection | DOAJ |
| description | An extension of the Helson-Edwards theorem for the group algebras to Banach
modules over commutative Banach algebras is given. This extension can be viewed as a
generalization of Liu-Rooij-Wang's result for Banach modules over the group algebras. |
| format | Article |
| id | doaj-art-d04fdf0105394f5788005e6b9c8596a1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d04fdf0105394f5788005e6b9c8596a12025-02-03T05:59:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114222723210.1155/S0161171291000248An extension of Helson-Edwards theorem to Banach ModulesSin-Ei Takahasi0Yamagata University, Department of Basic Technology, Faculty of Engineering, Yonezawa 992, JapanAn extension of the Helson-Edwards theorem for the group algebras to Banach modules over commutative Banach algebras is given. This extension can be viewed as a generalization of Liu-Rooij-Wang's result for Banach modules over the group algebras.http://dx.doi.org/10.1155/S0161171291000248multiplierBanach modulesbounded approximate identity compact abelian groupcompletely regular. |
| spellingShingle | Sin-Ei Takahasi An extension of Helson-Edwards theorem to Banach Modules International Journal of Mathematics and Mathematical Sciences multiplier Banach modules bounded approximate identity compact abelian group completely regular. |
| title | An extension of Helson-Edwards theorem to Banach Modules |
| title_full | An extension of Helson-Edwards theorem to Banach Modules |
| title_fullStr | An extension of Helson-Edwards theorem to Banach Modules |
| title_full_unstemmed | An extension of Helson-Edwards theorem to Banach Modules |
| title_short | An extension of Helson-Edwards theorem to Banach Modules |
| title_sort | extension of helson edwards theorem to banach modules |
| topic | multiplier Banach modules bounded approximate identity compact abelian group completely regular. |
| url | http://dx.doi.org/10.1155/S0161171291000248 |
| work_keys_str_mv | AT sineitakahasi anextensionofhelsonedwardstheoremtobanachmodules AT sineitakahasi extensionofhelsonedwardstheoremtobanachmodules |