On the Farkas Lemma

S. S. Kutateladze

An expanded version of the talk is available in PDF

Assume that X is a (real) vector space, Y is an Archimedean vector lattice, and Z is a universally complete vector lattice. The operator equation 𝔛A=B, with A ∈ L(X,Y) and B ∈ L(X,Z), has a positive solution 𝔛 iff for all x ∈ X from Ax ≥0 it follows that Bx≥0. We discuss the status and validity of this claim within the relevant background of Boolean valued analysis.

This talk was delivered at the 18th St. Petersburg Meeting in Mathematical Analysis on June 30, 2009.

Slides in PDF.

File translated from TEX by TTH, version 3.77.
On 30 June 2009, 20:47.

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