ABSTRACT
7.1 Definition Let V be a finite dimensional vector space. A bilinear functional g : V × V → R is said to be non-degenerate if https://www.w3.org/1998/Math/MathML"> g ( ν , w ) = 0 for every w ∈ V implies that ν = 0 , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315366722/660a41ec-09ea-4535-a2aa-9fc9a667124f/content/un7_e001.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> and it is said to be positive definite (resp., negative definite) if it satisfies the stronger condition https://www.w3.org/1998/Math/MathML"> g ( ν , ν ) > 0 ( resp . g ( ν , ν ) < 0 ) for every ν ≠ 0. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315366722/660a41ec-09ea-4535-a2aa-9fc9a667124f/content/un7_e002.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
