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Cauchy functional equation problems concerning orthogonality

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Summary.

We confine ourselves to the conditional Cauchy functional equation of orthogonal additivity and deal with problems which arise in connection with the following subjects: Dimension 2 versus higher dimensions; Dependence on the range space; Modules as domain spaces; Gleason's Theorem; Disjoint additivity on normed Riesz spaces.

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  1. Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland, , , , , , CH

    J. Rätz

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  1. J. Rätz
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Received: June 29, 2000; final version: October 30, 2000.

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Rätz, J. Cauchy functional equation problems concerning orthogonality. Aequ. math. 62, 1–10 (2001). https://doi.org/10.1007/PL00000359

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  • DOI: https://doi.org/10.1007/PL00000359

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