List questions from bilinear-form

Published on 16 Jan 2017 - 12:17

68

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natural bilinear extension

Published on 17 Jan 2017 - 0:14

2k

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How to check if the function $f(u, v) = (u, v)(\alpha)$ is a bilinear function?

Published on 21 Jan 2017 - 13:26

139

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Regarding this proof on bilinear forms

Published on 22 Jan 2017 - 12:52

95

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Extending fundamental form

Published on 26 Jan 2017 - 16:32

157

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Fundamental form on a vector space

Published on 26 Jan 2017 - 18:03

235

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Show that form is coercive

Published on 31 Jan 2017 - 11:59

179

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Continuity $\iff$ boundedness for a bilinear functional

Published on 05 Feb 2017 - 20:29

57

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Does an orthogonal vector of length 1 exist in every field?

Published on 09 Feb 2017 - 14:02

1.3k

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Connection between dual maps and bilinear forms?

Published on 16 Feb 2017 - 16:51

496

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Prove that if $W \subseteq V$ is a subspace s.t. $W \cap W^\perp = \{0\}$, then $V = W\oplus W^\perp$

Published on 25 Mar 2026 - 20:36

298

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Determinant of a Gram's $n \times n$ matrix

Published on 21 Feb 2017 - 20:01

46

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Does this 'inner-product'-like function show up somewhere?

Published on 22 Feb 2017 - 13:23

51

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If $E = F \bigoplus G$ and $F$ and $G$ are orthogonal, then why is there $x_F+x_G=x \in F^{\perp}$?

Published on 23 Feb 2017 - 12:26

486

Views

Metric/bilinear form triangle inequality proof

Published on 03 Mar 2017 - 1:30

List Question

Are non-degenerate bilinear forms equivalent to isomorphisms $V \cong V^*$?

natural bilinear extension

How to check if the function $f(u, v) = (u, v)(\alpha)$ is a bilinear function?

Regarding this proof on bilinear forms

Extending fundamental form

Fundamental form on a vector space

Show that form is coercive

Continuity $\iff$ boundedness for a bilinear functional

Does an orthogonal vector of length 1 exist in every field?

Connection between dual maps and bilinear forms?

Prove that if $W \subseteq V$ is a subspace s.t. $W \cap W^\perp = \{0\}$, then $V = W\oplus W^\perp$

Determinant of a Gram's $n \times n$ matrix

Does this 'inner-product'-like function show up somewhere?

If $E = F \bigoplus G$ and $F$ and $G$ are orthogonal, then why is there $x_F+x_G=x \in F^{\perp}$?

Metric/bilinear form triangle inequality proof

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