Radon Integrals: An abstract approach to integration and Riesz representation through function cones - Tapa blanda

Sinopsis

I. General Integration Theory.- II. Functional Analytic Aspects and Radon Integrals.- III. Set-Theoretical Aspects and Radon Measures.- § 16 Notes and special applications.- 16.1 Historical notes and comments.- 16.2 L.H. Loomis' abstract Riemann integration theory.- 16.3 Representation theorem of H. Bauer.- 16.4 Measurability and integrability in the sense of N. Dunford and J.T. Schwartz, as developed by K.P.S. and M. Bhaskara Rao.- 16.5 H. Königs' version of a basic measure extension theorem.- 16.6 Representation theorem of D. Pollard and F. Topsoe for cones of positive functions.- 16.7 Representation theorem of C. Berg, J.P.R. Christensen and P. Ressel for cones of positive functions.- 16.8 F. Topsoe's representation theorem for cones of positive functions without stability w.r.t. positive differences.- 16.9 An abstract version of Henry's extension theorem.- § 17 Hahn-Banach-Andenaes theorem for conoids.- Index of symbols.- References.

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