Extended index of a bilinear form: Difference between revisions

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==Definition==
==Definition==


The '''extended index''' of a quadratic form on a real vector space is defined as the maximum possible dimension of a negative definite subspace.
The '''extended index''' of a bilinear form on a real vector space is defined as the maximum possible dimension of a negative definite subspace.


==Related terms==
==Related terms==


* [[Index of a quadratic form]]
* [[Index of a bilinear form]]
* [[Nullity of a quadratic form]]
* [[Nullity of a bilinear form]]

Revision as of 17:30, 23 June 2007

Definition

The extended index of a bilinear form on a real vector space is defined as the maximum possible dimension of a negative definite subspace.

Related terms