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On Some Invariants of a Bilinear Form

Published online by Cambridge University Press:  20 November 2018

Jonathan Wild*
Affiliation:
Collin's Bay, Ont
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Let E be a finite dimensional vector space over an arbitrary field. In E a bilinear form is given. It associates with every sub s pa ce V its right orthogonal sub space V* and its left orthogonal subspace *V. In general we cannot expect that dim V* = dim *V. However this relation will hold in some interesting special cases.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1961