Question

Orthogonal projection of an inner product space V onto a subspace W and onto the orthogonal complement of W.

score 956 · Answer 1 · 2026-03-26 18:51:50

956

Views

Orthogonal projection of an inner product space V onto a subspace W and onto the orthogonal complement of W.

Published on 26 Mar 2026 - 18:51

score 150 · Answer 2 · 2026-03-26 21:08:49

150

Views

Counterexample to $x=0$ if $x$ is orthogonal to $(e_n)$ implies $(e_n)$ has dense span

Published on 26 Mar 2026 - 21:08

score 119 · Answer 3 · 2019-12-06 04:26:37

119

Views

If $range A_n$ is closed in a Hilbert space, is $A_n$ bounded and an orthogonal projection?

Published on 06 Dec 2019 - 4:26

score 326 · Answer 4 · 2019-12-07 02:03:46

326

Views

understanding the meaning of scalar in the inner product definition.

Published on 07 Dec 2019 - 2:03

score 140 · Answer 5 · 2019-12-07 14:01:00

140

Views

Orthogonal complement of S and related question

Published on 07 Dec 2019 - 14:01

score 62 · Answer 6 · 2019-12-08 11:47:52

62

Views

Verification of a proof about the limit of an inner product

Published on 08 Dec 2019 - 11:47

score 29 · Answer 7 · 2026-03-25 12:35:08

29

Views

What will be the matrix of an anti-selfadjoint transformation in an orthonormal basis?

Published on 25 Mar 2026 - 12:35

score 41 · Answer 8 · 2026-03-29 07:22:21

41

Views

How are those vectors orthogonal?

Published on 29 Mar 2026 - 7:22

score 194 · Answer 9 · 2019-12-09 19:17:17

194

Views

What does this notation mean in regards to the inner product?

Published on 09 Dec 2019 - 19:17

score 158 · Answer 10 · 2026-03-26 22:53:25

158

Views

Orthogonal projections over the space of linear functions.

Published on 26 Mar 2026 - 22:53

score 2k · Answer 11 · 2019-12-09 20:00:51

2k

Views

Expanding inner product

Published on 09 Dec 2019 - 20:00

score 320 · Answer 12 · 2026-03-29 14:19:59

320

Views

Inner product spaces, orthogonality, complex integration and non-uniform convergence

Published on 29 Mar 2026 - 14:19

score 253 · Answer 13 · 2026-03-28 21:58:42

253

Views

Is it true that $A_{ij} B^i \mathbf{E}^j = A_{pq} B^q \mathbf{E}^p$? Can we move indexes in doing inner products?

Published on 28 Mar 2026 - 21:58

score 59 · Answer 14 · 2026-04-02 07:07:44

59

Views

Given $\langle f,g \rangle := \frac12\int_{-\pi}^{\pi}f(x)\overline{g(x)}\,dx$ I'm searching an example of $f \neq 0$ such that $\langle f,f\rangle=0$

Published on 02 Apr 2026 - 7:07

score 98 · Answer 15 · 2026-03-26 10:58:21

98

Views

Extending an inner product to its completion

Published on 26 Mar 2026 - 10:58

List Question

Orthogonal projection of an inner product space V onto a subspace W and onto the orthogonal complement of W.

Counterexample to $x=0$ if $x$ is orthogonal to $(e_n)$ implies $(e_n)$ has dense span

If $range A_n$ is closed in a Hilbert space, is $A_n$ bounded and an orthogonal projection?

understanding the meaning of scalar in the inner product definition.

Orthogonal complement of S and related question

Verification of a proof about the limit of an inner product

What will be the matrix of an anti-selfadjoint transformation in an orthonormal basis?

How are those vectors orthogonal?

What does this notation mean in regards to the inner product?

Orthogonal projections over the space of linear functions.

Expanding inner product

Inner product spaces, orthogonality, complex integration and non-uniform convergence

Is it true that $A_{ij} B^i \mathbf{E}^j = A_{pq} B^q \mathbf{E}^p$? Can we move indexes in doing inner products?

Given $\langle f,g \rangle := \frac12\int_{-\pi}^{\pi}f(x)\overline{g(x)}\,dx$ I'm searching an example of $f \neq 0$ such that $\langle f,f\rangle=0$

Extending an inner product to its completion

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