Vol. 161, No. 2, 1993

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Jordan analogs of the Burnside and Jacobson density theorems

Luzius Grünenfelder, M. Olmladič and Heydar Radjavi

Vol. 161 (1993), No. 2, 335–346
Abstract

If 𝒜 is an (associative) algebra of linear operators on a vector space, it is well known that 2-transitivity for 𝒜 implies density and, in certain situations, transitivity guarantees 2-transitivity. In this paper we consider analogs of these results for Jordan algebras of linear operators with the standard Jordan product.

Mathematical Subject Classification 2000
Primary: 17C50
Secondary: 46H70, 47D99
Milestones
Received: 15 December 1991
Published: 1 December 1993
Authors
Luzius Grünenfelder
M. Olmladič
Heydar Radjavi