Constants of strong uniqueness of minimal norm-one projections

• Autorzy: A. Micek
• Języki publikacji: EN

Abstrakty

EN

In this paper we calculate the constants of strong uniqueness of minimal norm-one projections on subspaces of codimension k in the space $l^{(n)}_{∞}$. This generalizes a main result of W. Odyniec and M. P. Prophet [J. Approx. Theory 145 (2007), 111-121]. We applied in our proof Kolmogorov's type theorem (see A. Wójcik [Approximation and Function Spaces (Gdańsk, 1979), PWN, Warszawa / North-Holland, Amsterdam, 1981, 854-866]) for strongly unique best approximation.

Kategorie tematyczne

• 41A44: Best constants
• 41A35: Approximation by operators (in particular, by integral operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 92
• Numer: 1
• Strony: 265-277

Daty

wydano

2011

Twórcy

autor

A. Micek

• Department of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/bc92-0-18