Extension of Positive Operators and Korovkin Theorems

Klaus Donner (auth.)9780387111834, 0-387-11183-2

Table of contents :
Cone embeddings for vector lattices….Pages 2-11
A vector-valued Hahn-Banach theorem….Pages 12-29
Bisublinear and subbilinear functionals….Pages 30-67
Extension of L 1 -valued positive operators….Pages 68-83
Extension of positive operators in L p -spaces….Pages 84-104
The Korovkin closure for equicontinuous nets of positive operators….Pages 105-126
Korovkin theorems for the identity mapping on classical Banach lattices….Pages 127-161
Convergence to vector lattice homomorphisms and essential sets….Pages 162-173