Orthogonally Additive Polynomials and Orthosymmetric Maps in Banach Algebras with Properties 𝔸 and 𝔹
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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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2015
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091515000383