- 期刊
SEMI-SIMPLICITY OF A PROPER WEAK H*-ALGEBRA
摘要
A weak right H*-algebra is a Banach algebra A which is a Hilbert space and which has a dense subset D_r with the property that for each x in D_r there exists x^r such that (yz, z) (y, zz^r) for all y, z in A. It is shown that a proper (each x^r is unique) weak right H*-algebra is semi-simple. Also there is an example of weak right H*-algebra which is not a left H*-algebra.
延伸閱讀
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