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Extension of Positive Operators and Korovkin Theorems (Lecture Notes in Mathematics)
Extension of Positive Operators and Korovkin Theorems (Lecture Notes in Mathematics)
Date: 13 April 2011, 03:24

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Contents
Introduction . . . . . . . . . . . . . . .. . . . iv
Notations. . . . . . . . . . . . . . . . . . . . .1
Section 1:Cone imbeddings for vector lattices . . 2
Section 2:A vector-valued Hahn-Banach theorem . . .12
Section 3:Bisublinear and subbilinear functionals . .30
Section 4:Extensions of L^1-valued positive operators..68
Section 5:Extension of positivrkoperators in L^p-space..84
Section 6:The Korovkin closure for equicontinuous
nets of positive operators. . . . . . . . .105
Section 7:Korovkin theorems for the identity mapping
on classical Banach lattices. . . . . . . .127
Section 8:Convergence to vector lattice homomorphisms
and essential sets. . . . . . . . . . . . .162
List of symbols. . . . . . . . . . . . . . . . . . .174
Literature......................................177
Index. . . . . . . . . . . . . . . . . . . . 182

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