A lower bound on the radius of analyticity of a power series in a real Banach space

• Autorzy: Timothy Nguyen
• Języki publikacji: EN

Abstrakty

EN

Let F be a power series centered at the origin in a real Banach space with radius of uniform convergence ϱ. We show that F is analytic in the open ball B of radius ϱ/√e, and furthermore, the Taylor series of F about any point a ∈ B converges uniformly within every closed ball centered at a contained in B.

Kategorie tematyczne

• 46B99: None of the above, but in this section
• 32A05: Power series, series of functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 2
• Strony: 171-179

Daty

wydano

2009

Twórcy

autor

Timothy Nguyen

• Department of Mathematics, 2-310, MIT, 77 Massachusetts Ave., Cambridge, MA 02139, U.S.A.

Identyfikatory

DOI

10.4064/sm191-2-5