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Journal of Convex Analysis 06 (1999), No. 1, 207--214
Copyright Heldermann Verlag 1999

On the Composition of Quasiconvex Functions and the Transposition

Martin Kruzik
Inst. of Information Theory and Automation, Czech Academy of Sciences, Pod vodárenskou vezi 4, 18208 Praha 8, Czech Republic

The paper shows that the composition of a quasiconvex function (taking the value +infty) with the transposition is not necessarily a quasiconvex function.

Keywords: Polyconvexity, quasiconvexity, rank-one convexity.

MSC: 26B25; 49R99

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