JournalsprimsVol. 37 , No. 4DOI 10.2977/prims/1145477328

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
A Class of Polynomials from Banach Spaces into Banach Algebras
Klein-Gordon equations is studied in the Sobolev space Hs = Hs( cover

Abstract

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, ϕL(E,F)) where ϕn(x) = (ϕ(x))n for each xE.