List questions from bilinear-form

Published on 18 Dec 2015 - 14:33

73

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What is inside $W \cap W^{\bot_{\phi}}$?

Published on 18 Dec 2015 - 19:43

418

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A quadratic form is positive-definite iff its set of isotropic vectors is trivial

Published on 20 Dec 2015 - 17:35

54

Views

How to show that the vectors of $\ker \phi$ are linearly indipendent to other vectors in a orthogonal basis with respect to $\phi$

Published on 20 Dec 2015 - 19:30

2.4k

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What is the meaning of the eigenvalues of the matrix representation of a bilinear form?

Published on 21 Dec 2015 - 17:42

483

Views

Bilinear maps and non-degeneracy

Published on 28 Dec 2015 - 10:42

1.1k

Views

Using Lagrange's diagonalization on degenerate linear forms

Published on 02 Jan 2016 - 14:34

342

Views

Bilinear forms defines inner product on Hilbert Space

Published on 09 Jan 2016 - 14:51

169

Views

GNS construction of a weight

Published on 26 Mar 2026 - 16:08

626

Views

Bilinear and linear map, then zero map

Published on 13 Jan 2016 - 10:54

133

Views

Subspace $U\subset U^{\perp}$ has dimension at most $n/2$

Published on 13 Jan 2016 - 13:19

38

Views

$\det$ is the only multiplicative nonzero quadratic form on $\mathcal M_2(\Bbb R)$

Published on 15 Jan 2016 - 21:04

273

Views

Inner Product on $P_3(\mathbb{R})$ true/false

Published on 27 Jan 2016 - 4:47

1.1k

Views

Example of degenerate scalar product

Published on 29 Jan 2016 - 12:15

246

Views

Is the matrix filled with the areas of pairwise intersections of disks in a plane always positive semidefinite?

Published on 30 Jan 2016 - 18:56

List Question

Bilinear form is bounded

What is inside $W \cap W^{\bot_{\phi}}$?

A quadratic form is positive-definite iff its set of isotropic vectors is trivial

How to show that the vectors of $\ker \phi$ are linearly indipendent to other vectors in a orthogonal basis with respect to $\phi$

What is the meaning of the eigenvalues of the matrix representation of a bilinear form?

Bilinear maps and non-degeneracy

Using Lagrange's diagonalization on degenerate linear forms

Bilinear forms defines inner product on Hilbert Space

GNS construction of a weight

Bilinear and linear map, then zero map

Subspace $U\subset U^{\perp}$ has dimension at most $n/2$

$\det$ is the only multiplicative nonzero quadratic form on $\mathcal M_2(\Bbb R)$

Inner Product on $P_3(\mathbb{R})$ true/false

Example of degenerate scalar product

Is the matrix filled with the areas of pairwise intersections of disks in a plane always positive semidefinite?

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