Regular vector lattices of continuous functions and Korovkin-type theorems-Part II

• Autorzy: Francesco Altomare , Mirella Cappelletti Montano
• Języki publikacji: EN

Abstrakty

EN

By applying the results of the first part of the paper, we establish some Korovkin-type theorems for continuous positive linear operators in the setting of regular vector lattices of continuous functions. Moreover, we present simple methods to construct Korovkin subspaces for finitely defined operators and for the identity operator and we determine those classes of operators which admit finite-dimensional Korovkin subspaces. Finally, we give a Korovkin-type theorem for continuous positive projections.

Kategorie tematyczne

• 46E05: Lattices of continuous, differentiable or analytic functions
• 47B38: Operators on function spaces (general)
• 47B65: Positive operators and order-bounded operators
• 41A35: Approximation by operators (in particular, by integral operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2006
• Tom: 172
• Numer: 1
• Strony: 69-90

Daty

wydano

2006

Twórcy

autor

Francesco Altomare

• Department of Mathematics, University of Bari, Campus Universitario, Via E. Orabona, 4, 70125 Bari, Italy

autor

Mirella Cappelletti Montano

• Department of Mathematics, University of Bari, Campus Universitario, Via E. Orabona, 4, 70125 Bari, Italy

Identyfikatory

DOI

10.4064/sm172-1-4