A Class of Polynomials from Banach Spaces into Banach Algebras
Klein-Gordon equations is studied in the Sobolev space Hs = Hs(
Luiza A. Moraes
Universidade Federal do Rio de Janeiro, Brazil
Mary L. Lourenço
Universidade de São Paulo, Brazil
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.