标题:Biweights and <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi></mml:mi><mml:mi>*</mml:mi></mml:msup></mml:mrow></mml:math>-homomorphisms of partial <mml:math id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi></mml:mi><mml:mi>*</mml:mi></mml:msup></mml:mrow></mml:math>-algebras
期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2006
卷号:2006
DOI:10.1155/IJMMS/2006/54793
出版社:Hindawi Publishing Corporation
摘要:Consider two partial *-algebras, 𝔄1 and 𝔄2, and an *-homomorphism Φ from 𝔄1 into 𝔄2. Given a biweight ϕ on 𝔄2, we discuss conditions under which the natural composition ϕ∘Φ of ϕ and Φ is a biweight on 𝔄1. In particular, we examine whether the restriction of a biweight to a partial *-subalgebra is again a biweight.