Extendibility of polynomials and analytic functions on $ℓ_{p}$

• Autorzy: Daniel Carando
• Języki publikacji: EN

Abstrakty

EN

We prove that extendible 2-homogeneous polynomials on spaces with cotype 2 are integral. This allows us to find examples of approximable non-extendible polynomials on $ℓ_{p}$ (1 ≤ p < ∞ ) of any degree. We also exhibit non-nuclear extendible polynomials for 4 < p < ∞. We study the extendibility of analytic functions on Banach spaces and show the existence of functions of infinite radius of convergence whose coefficients are finite type polynomials but which fail to be extendible.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46G25: (Spaces of) multilinear mappings, polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 1
• Strony: 63-73

Daty

wydano

2001

Twórcy

autor

Daniel Carando

• Departamento de Matematica, Universidad de San Andres, Vito Dumas 284, (1644) Victoria, Argentina

Identyfikatory

DOI

10.4064/sm145-1-4