Question

verifying an inner product?

score 1.8k · Answer 1 · 2018-05-20 14:22:21

1.8k

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verifying an inner product?

Published on 20 May 2018 - 14:22

score 145 · Answer 2 · 2026-03-30 04:25:13

145

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Signature of scalar products with parameter

Published on 30 Mar 2026 - 4:25

score 58 · Answer 3 · 2026-03-26 16:06:06

58

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An operator $A$ on $\Bbb R^2$ for which $\langle Ax,x\rangle=0$ for all $x$ and $\|A\| = 1$.

Published on 26 Mar 2026 - 16:06

score 380 · Answer 4 · 2026-03-29 06:55:20

380

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For normal operator $T$, $\Vert T\Vert=\sup\left\{|\langle Tx,x\rangle|\colon \Vert x \Vert \leq 1\right\}$.

Published on 29 Mar 2026 - 6:55

score 148 · Answer 5 · 2018-05-21 16:47:42

148

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Show that $\langle v,w\rangle _1=c\langle v,w\rangle _2$ for some scalar $c$.

Published on 21 May 2018 - 16:47

score 88 · Answer 6 · 2026-03-28 16:59:55

88

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Why $\|a+b\|^2 = \|a\|^2 + \|b\|^2 + 2\langle a,b \rangle$?

Published on 28 Mar 2026 - 16:59

score 49 · Answer 7 · 2018-05-21 20:09:11

49

Views

Does shared orthogonality implies proportionality of inner products for infinite dimensional spaces?

Published on 21 May 2018 - 20:09

score 30 · Answer 8 · 2026-03-24 22:08:40

30

Views

To write the matrix of a dot product $g:\mathbb{R^2} \times \mathbb{R^2} \to \mathbb{R}$ on a basis $\mathcal{B}=\{v_1, v_2\}$

Published on 24 Mar 2026 - 22:08

score 213 · Answer 9 · 2026-03-25 16:21:19

213

Views

Skew-symmetric matrices and invariants

Published on 25 Mar 2026 - 16:21

score 73 · Answer 10 · 2026-03-30 04:24:53

73

Views

Proving bijection of Adjoint transformation

Published on 30 Mar 2026 - 4:24

score 34 · Answer 11 · 2026-03-26 19:08:08

34

Views

Inner Product on $\mathbb C^d$ Induces Hermitian Matrix

Published on 26 Mar 2026 - 19:08

score 38 · Answer 12 · 2018-05-24 14:12:01

Edit 1 : How can I solve the equation with squares of inner products? $ \sum_{u=1}^{m}\alpha_u\langle\mathbf{a}_u, \mathbf{x}\rangle^2 = \beta $

score 799 · Answer 13 · 2026-03-26 06:28:30

799

Views

Orthogonal basis with respect to an inner product

Published on 26 Mar 2026 - 6:28

score 95 · Answer 14 · 2018-05-28 08:05:56

95

Views

Is matrix polynomial of a self adjoint operator necessarily self adjoint?

Published on 28 May 2018 - 8:05

score 866 · Answer 15 · 2026-03-25 17:38:23

866

Views

Proof of inner product trace matrices on complexe plan

Published on 25 Mar 2026 - 17:38

List Question

verifying an inner product?

Signature of scalar products with parameter

An operator $A$ on $\Bbb R^2$ for which $\langle Ax,x\rangle=0$ for all $x$ and $\|A\| = 1$.

For normal operator $T$, $\Vert T\Vert=\sup\left\{|\langle Tx,x\rangle|\colon \Vert x \Vert \leq 1\right\}$.

Show that $\langle v,w\rangle _1=c\langle v,w\rangle _2$ for some scalar $c$.

Why $\|a+b\|^2 = \|a\|^2 + \|b\|^2 + 2\langle a,b \rangle$?

Does shared orthogonality implies proportionality of inner products for infinite dimensional spaces?

To write the matrix of a dot product $g:\mathbb{R^2} \times \mathbb{R^2} \to \mathbb{R}$ on a basis $\mathcal{B}=\{v_1, v_2\}$

Skew-symmetric matrices and invariants

Proving bijection of Adjoint transformation

Inner Product on $\mathbb C^d$ Induces Hermitian Matrix

Edit 1 : How can I solve the equation with squares of inner products? $ \sum_{u=1}^{m}\alpha_u\langle\mathbf{a}_u, \mathbf{x}\rangle^2 = \beta $

Orthogonal basis with respect to an inner product

Is matrix polynomial of a self adjoint operator necessarily self adjoint?

Proof of inner product trace matrices on complexe plan

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