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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1969 Volume 6, Issue 4, Pages 361–369 (Mi mzm6942)
This article is cited in 1 paper

Necessary and sufficient conditions for the linearity of transformations which preserve cones

R. I. Pimenov

Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences

Abstract: We find a criterion for the linearity of mappings, preserving equal and parallel cones, in one of the exceptional cases to which the theorem of A. D. Aleksandrov does not extend.

UDC: 513.78

Received: 07.05.1968


 English version: Mathematical Notes, 1969, 6:4, 675–679

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