List questions from inner-products

Published on 14 Jun 2018 - 21:00

88

Views

Strict inequality in an inner product.

Published on 15 Jun 2018 - 13:58

757

Views

Show that $y \perp x_n$ and $x_n \rightarrow x$ together imply $x \perp y$

Published on 16 Jun 2018 - 1:56

690

Views

Matrix norm/Frobenius norm inner product simplification

Published on 25 Mar 2026 - 20:35

255

Views

Why does the inner product require the base field be $\mathbb{R}$ or $\mathbb{C}$?

Published on 29 Mar 2026 - 10:46

12.5k

Views

Transpose matrix and inner product

Published on 18 Jun 2018 - 14:54

329

Views

Show that the operator is linear

Published on 30 Mar 2026 - 16:00

67

Views

Find inner product that meets primary decomposition criterias

Published on 23 Mar 2026 - 0:55

45

Views

Perp of a subset and closeness.

Published on 21 Jun 2018 - 6:08

706

Views

SVD related orthogonal projection

Published on 27 Mar 2026 - 5:38

121

Views

Definition of metric and inner product in diff geo and definition of isometry.

Published on 25 Mar 2026 - 4:42

1.3k

Views

Multiplying a matrix with its eigenvectors stretches or contracts the vector without changing its "direction". Is this true for complex eigenvalues?

Published on 25 Mar 2026 - 12:16

47

Views

Projection on a closed convex in a Banach space, without inner product.

Published on 25 Mar 2026 - 3:20

67

Views

Prove: $\langle p, v\rangle = \|p\|^2$

Published on 25 Jun 2018 - 19:02

250

Views

Question in John Conway's book on Functional Analysis.

Published on 26 Jun 2018 - 5:26

List Question

Show that $P_2\times P_2 \to \mathbb{R}$ is a dot product in $P_2$

Strict inequality in an inner product.

Show that $y \perp x_n$ and $x_n \rightarrow x$ together imply $x \perp y$

Matrix norm/Frobenius norm inner product simplification

Why does the inner product require the base field be $\mathbb{R}$ or $\mathbb{C}$?

Transpose matrix and inner product

Show that the operator is linear

Find inner product that meets primary decomposition criterias

Perp of a subset and closeness.

SVD related orthogonal projection

Definition of metric and inner product in diff geo and definition of isometry.

Multiplying a matrix with its eigenvectors stretches or contracts the vector without changing its "direction". Is this true for complex eigenvalues?

Projection on a closed convex in a Banach space, without inner product.

Prove: $\langle p, v\rangle = \|p\|^2$

Question in John Conway's book on Functional Analysis.

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