On the Representation of Orthogonally Additive Polynomials in $\ell_p$

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چکیده

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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: Publications of the Research Institute for Mathematical Sciences

سال: 2009

ISSN: 0034-5318

DOI: 10.2977/prims/1241553128