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Reflexive spaces of homogeneous polynomials. (English) Zbl 1068.46027
Summary: We improve results of R. Alencar [Contemp. Math. 144, 1–8 (1993; Zbl 0795.46033)] and J. A. Jaramillo and L. A. Moraes [Arch. Math. 74, No. 4, 282–293 (2000; Zbl 0959.46038)], which give necessary and sufficient conditions for reflexivity of spaces of homogeneous polynomials.

MSC:
46G25 (Spaces of) multilinear mappings, polynomials
46B10 Duality and reflexivity in normed linear and Banach spaces
46B28 Spaces of operators; tensor products; approximation properties
46E50 Spaces of differentiable or holomorphic functions on infinite-dimensional spaces
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