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Author Talabani, M. M [مريوان مصطفى الطلباني]en_US
Available date 2009-11-25T15:20:20Zen_US
Publication Date 1984en_US
Publication Name Qatar University Science Bulletin
Citation Qatar University Science Bulletin, 1984, Vol. 4, Pages 33-36.en_US
URI http://hdl.handle.net/10576/9879en_US
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
Language enen_US
Publisher Qatar Universityen_US
Subject Mathematicsen_US
Subject الرياضياتar
Title A Remark On Proper Left H* — Algebrasen_US
Type Articleen_US
Pagination 33-36en_US
Volume Number 4en_US


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