Question

Showing that $f_v\left(\bigotimes_{k=1}^3e_k\right)=\left<e_3,v\right>e_1\otimes e_2$ is a unique continuous map

score 24 · Answer 1 · 2023-04-29 15:14:01

24

Views

Showing that $f_v\left(\bigotimes_{k=1}^3e_k\right)=\left<e_3,v\right>e_1\otimes e_2$ is a unique continuous map

Published on 29 Apr 2023 - 15:14

score 71 · Answer 2 · 2023-04-29 16:00:53

71

Views

Radial projection onto the closed unit ball

Published on 29 Apr 2023 - 16:00

score 75 · Answer 3 · 2026-04-11 05:23:48

75

Views

An example of dense subspace of $\ell_2$

Published on 11 Apr 2026 - 5:23

score 47 · Answer 4 · 2023-04-30 12:41:37

47

Views

How do I prove that the standard basis in $\mathbb{F}^n$ ($\mathbb{R}^n$ or $\mathbb{C}^n$) is orthonormal?

Published on 30 Apr 2023 - 12:41

score 22 · Answer 5 · 2026-04-07 12:48:17

22

Views

Does $\langle e^{-i\tau \psi}\varphi, u\rangle = \langle\mathcal{F}^{-1}(e^{-i\tau\psi}), \mathcal{F}(\varphi u)\rangle$?

Published on 07 Apr 2026 - 12:48

score 38 · Answer 6 · 2023-04-30 18:24:33

38

Views

Equivalents of the parallelogram law

Published on 30 Apr 2023 - 18:24

score 19 · Answer 7 · 2026-03-28 03:33:21

19

Views

Calculating scalar product in a new basis and finding the area of a parallelogram

Published on 28 Mar 2026 - 3:33

score 105 · Answer 8 · 2026-04-11 05:00:23

105

Views

Cross/dot product identity

Published on 11 Apr 2026 - 5:00

score 69 · Answer 9 · 2026-04-09 00:24:05

69

Views

$U \subset \mathbb{R}^m$ compact, convex that does not contain $0$.

Published on 09 Apr 2026 - 0:24

score 42 · Answer 10 · 2023-05-04 14:20:41

42

Views

Inner product of two vectors to be positive

Published on 04 May 2023 - 14:20

score 38 · Answer 11 · 2023-05-04 17:40:04

38

Views

Is the complex conjugate of an innner product the inner product of the complex conjugates

Published on 04 May 2023 - 17:40

score 111 · Answer 12 · 2026-04-10 02:50:23

111

Views

Proof of Bessel inequality by orthogonal projectors

Published on 10 Apr 2026 - 2:50

score 243 · Answer 13 · 2026-03-28 08:28:00

243

Views

Using Gram-Schmidt to extend an orthonormal basis for a subspace

Published on 28 Mar 2026 - 8:28

score 82 · Answer 14 · 2026-03-26 04:52:00

82

Views

$T : H \to H$ bounded self-adjoint, when is $\sup \langle Tx, x \rangle$ achieved?

Published on 26 Mar 2026 - 4:52

score 42 · Answer 15 · 2023-05-07 17:26:11

42

Views

Prove that hermitian adjoints don't necessarily exist in infinite dimensions.

Published on 07 May 2023 - 17:26

List Question

Showing that $f_v\left(\bigotimes_{k=1}^3e_k\right)=\left<e_3,v\right>e_1\otimes e_2$ is a unique continuous map

Radial projection onto the closed unit ball

An example of dense subspace of $\ell_2$

How do I prove that the standard basis in $\mathbb{F}^n$ ($\mathbb{R}^n$ or $\mathbb{C}^n$) is orthonormal?

Does $\langle e^{-i\tau \psi}\varphi, u\rangle = \langle\mathcal{F}^{-1}(e^{-i\tau\psi}), \mathcal{F}(\varphi u)\rangle$?

Equivalents of the parallelogram law

Calculating scalar product in a new basis and finding the area of a parallelogram

Cross/dot product identity

$U \subset \mathbb{R}^m$ compact, convex that does not contain $0$.

Inner product of two vectors to be positive

Is the complex conjugate of an innner product the inner product of the complex conjugates

Proof of Bessel inequality by orthogonal projectors

Using Gram-Schmidt to extend an orthonormal basis for a subspace

$T : H \to H$ bounded self-adjoint, when is $\sup \langle Tx, x \rangle$ achieved?

Prove that hermitian adjoints don't necessarily exist in infinite dimensions.

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