535. Conditional Lp-spaces and the duality of modules over f-algebras by S. Cerreia-Vioglio, M. Kupper, F. Maccheroni, M. Marinacci, N. Vogelpoth Motivated by dynamic asset pricing, we extend the dual pairstheory of Dieudonné(1942) and Mackey (1945) to pairs of modules over a Dedekind complete f-algebra with multiplicative unit. The main tools are:
As a leading example, we study in some detail the duality of conditional Lp-spaces. Keywords: Dual pairs, Hahn-Banach Theorem for modules, complete L0-normed modules, automatic continuity
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