A Remark On Proper Left H* — Algebras

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A Remark On Proper Left H* — Algebras

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dc.contributor.author Talabani, M. M [مريوان مصطفى الطلباني] en_US
dc.date.accessioned 2009-11-25T15:20:20Z
dc.date.available 2009-11-25T15:20:20Z
dc.date.issued 1984 en_US
dc.identifier.citation Qatar University Science Journal, 1984, Vol. 4, Pages 33-36. en_US
dc.identifier.uri http://hdl.handle.net/10576/9879
dc.description.abstract W. Ambrose gave the theory of proper H* -algebras and M. Smiley in (2) gave an example of a left H* -algebra which is not a two-sided H* -algebra. Then he modified some of the arguments of Ambrose which yield the structure of proper right H*-algebras. In fact he proved that a proper right H*-algebra is merely a proper H*-algebra in which the norm has been changed to a certain equivalent norm in each of the simple components. In this short paper, we define proper left H*-algebras and give two lemmas for these classes. Then we prove the main result that every proper left H*-algebra is a proper H*-algebra. Thus, in this paper, we prove that the following are equivalent: (i) Proper left H*-algebras. (ii) Proper right H*-algebras. (iii) Proper H*-algebras. en_US
dc.description.abstract في هذا إلبحث القصير ، سنبرهن على أن الحالات الثلاثة التالية متكافئ!ة . ا -جبر -+لما اليسار التاس . 2 -جبر -ه لمه اليهين التاسا . 3 -جبر -+لما التام . ar
dc.language.iso en en_US
dc.publisher Qatar University en_US
dc.subject Mathematics en_US
dc.subject الرياضيات ar
dc.title A Remark On Proper Left H* — Algebras en_US
dc.title.alternative ملاخظة على جبر *أكتش اليسار سالم ar
dc.type Article en_US
dc.identifier.pagination 33-36 en_US
dc.identifier.volume 4 en_US

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