演講公告
新聞標題： ( 2012-09-07 )
演講主題：SCATTERED ELEMENTS IN THE BANACH ALGEBRAS
主講人：Peng Cao教授
演講日期：2012年9月18日(星期二) 下午2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
It is well known that in a Banach algebra, if the set of quasinilpotent elements is a linear subspace or a semigroup, then this set equals its Jacobson Radicals. In this talk, we will consider the similar case for the elements with at most countable spectrum, which are called scattered elements. Firstly, we will give the definition of scattered radical, and show that the scattered radical has many properties as the Jacobson Radical. Then we will give some equilavent conditions:
(i) S(A) + S(A) S(A),
(ii) S(A)S(A) S(A),
(iii) [S(A);A] Rsc(A),
where S(A) means the set of scattered elements in the Banach algebra A, and Rsc(A) means the scattered radical of A.
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