descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1995 English Publisher:Springer Netherlands

Authors: Jonathan S. Golan;

doi: 10.1007/978-1-4020-5495-2_14 , 10.1007/978-94-007-2636-9_14 , 10.1007/978-94-015-8502-6_13

The dual space

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Abstract

Linear functionals and the dual space of a vector space are defined and characterized. Every vector space is shown to be canonically embeddable in its second dual. Maximal subspaces are characterized as kernels of nontrivial linear functionals. The trace of a square matrix is studied in detail. Over a field of characteristic 0, a square matrix is shown to have trace 0 if and only if it is the Lie product of two matrices. Taber’s theorem is established.

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University of Haifa
Israel

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