ORTHOGONALLY ADDITIVE POLYNOMIALS ON C*-ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Orthogonally Additive Polynomials on C*-algebras
Let A be a C*-algebra which has no quotient isomorphic to M2(C). We show that for every orthogonally additive scalar nhomogeneous polynomials P on A such that P is Strong* continuous on the closed unit ball of A, there exists φ in A∗ satisfying that P (x) = φ(x), for each element x in A. The vector valued analogue follows as a corollary.
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If K is a field with discrete valuation ν and D = {a ∈ K : ν(a) ≥ 0}, then an algebra D[x] ⊆ A ⊆ K[x] has associated to it a sequence of fractional ideals {In : n = 0, 1, 2, . . . } with In consisting of 0 and the leading coefficients of elements of A of degree no more than n and a sequence of integers {a(n) : n = 0, 1, 2, . . . } with a(n) = −ν(In). Combinatorial properties of this integer seq...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2007
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/ham042