ON C¤-ALGEBRAS CUT DOWN BY CLOSED PROJECTIONS: CHARACTERIZING ELEMENTS VIA THE EXTREME BOUNDARY
نویسندگان
چکیده
منابع مشابه
On C*-algebras Cut down by Closed Projections: Characterizing Elements via the Extreme Boundary
Let A be a C*-algebra. Let z be the maximal atomic projection and p a closed projection in A∗∗. It is known that x in A∗∗ has a continuous atomic part, i.e. zx = za for some a in A, whenever x is uniformly continuous on the set of pure states of A. Under some additional conditions, we shall show that if x is uniformly continuous on the set of pure states of A supported by p, or its weak* closur...
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2001
ISSN: 1027-5487
DOI: 10.11650/twjm/1500407348