Correlations of spaces of pencils |
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Authors: | Mariusz Żynel |
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Affiliation: | Institute of Mathematics, University of Bia?ystok, Akademicka 2, 15-267 Bia?ystok, Poland |
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Abstract: | The paper introduces an axiomatic system of a conjugacy in partial linear spaces, and provides its analytical characterization in spaces of pencils. A correlation of a space of pencils is defined and it is shown to correspond to a polarity of the underlying projective space, i.e. to a reflexive sesqui-linear form, or also to an involutory collineation, i.e. to an injective semi-linear map, in the self-dual case. A geometric characterization of segment subspaces in spaces of pencils is also provided. |
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