Finite-dimensional Korovkin spaces in spaces of affine functions

DOI10.1007/BF01709152zbMath0602.46006MaRDI QIDQ1081793

G. M. Ustinov

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Choquet simplexordered Banach spaceBauer simplexKorovkin spaceproperty of positive approximationspaces of affine functions

Mathematics Subject Classification ID

Banach lattices (46B42) Convex sets in topological linear spaces; Choquet theory (46A55) Approximation by positive operators (41A36) Ordered topological linear spaces, vector lattices (46A40)

Cites Work

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• Properties of subspaces of the space of affine functions
• Korovkin shadows and Korovkin systems in C(S)-spaces
• Separable Banach spaces which admit \(I^ \infty_ n\) approximations
• Banach spaces whose duals are \(L_ 1\) spaces and their representing matrices
• Topological properties associated with m-hyperconvexity
• Extension of compact operators