Abstract of a paper by Ondrej F.K. Kalenda and Jiri Spurny
This is an announcement for the paper "Preserving affine Baire classes by perfect affine maps" by Ondrej F.K. Kalenda and Jiri Spurny. Abstract: Let $\varphi\colon X\to Y$ be an affine continuous surjection between compact convex sets. Suppose that the canonical copy of the space of real-valued affine continuous functions on $Y$ in the space of real-valued affine continuous functions on $X$ is complemented. We show that if $F$ is a topological vector space, then $f\colon Y\to F$ is of affine Baire class $\alpha$ whenever the composition $f\circ\varphi$ is of affine Baire class $\alpha$. This abstract result is applied to extend known results on affine Baire classes of strongly affine Baire mappings. Archive classification: math.FA Mathematics Subject Classification: 46A55, 26A21, 54H05 Remarks: 10 pages Submitted from: kalenda@karlin.mff.cuni.cz The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1501.05118 or http://arXiv.org/abs/1501.05118
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