Let E be a complex Banach space and F be a complex Banach algebra. We will be interested in the subspace ℙf(n_E,F_) of P(n_E,F_) generated by the collection of functions ϕn(n ∈ ℕ, ϕ ∈ L(E,F)) where ϕn(x) = (ϕ(x))n for each x ∈ E.
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Luiza A. Moraes, Mary L. Lourenço, A Class of Polynomials from Banach Spaces into Banach Algebras Klein-Gordon equations is studied in the Sobolev space Hs = Hs(. Publ. Res. Inst. Math. Sci. 37 (2001), no. 4, pp. 521–529DOI 10.2977/PRIMS/1145477328