Question

Are there any difference in between inner product and hermitian inner product?

score 221 · Answer 1 · 2018-04-03 19:36:10

221

Views

Are there any difference in between inner product and hermitian inner product?

Published on 03 Apr 2018 - 19:36

score 63 · Answer 2 · 2018-04-03 20:17:51

63

Views

Does there exists an isomorphism such that $\langle \phi(v),\phi(w)\rangle_{1}=\langle v,w\rangle_{2}$? If so then how to construct it.

Published on 03 Apr 2018 - 20:17

score 49 · Answer 3 · 2026-03-24 20:38:07

49

Views

For a bilinear functional why we have $b(x,Ay) = b(A^Tx,y)$?

Published on 24 Mar 2026 - 20:38

score 474 · Answer 4 · 2026-03-24 20:33:26

474

Views

Existence of an isotropic vector orthogonal to a given one in a vector space over a finite field.

Published on 24 Mar 2026 - 20:33

score 279 · Answer 5 · 2018-04-06 02:22:39

279

Views

Define an inner product on $V$ by $\langle f,g\rangle$

Published on 06 Apr 2018 - 2:22

score 2.2k · Answer 6 · 2026-03-25 14:19:54

2.2k

Views

Distance between 2 Orthogonal Unit vectors

Published on 25 Mar 2026 - 14:19

score 1.2k · Answer 7 · 2018-04-06 09:16:28

1.2k

Views

Is the Scalar Product Definition in my book wrong?

Published on 06 Apr 2018 - 9:16

score 494 · Answer 8 · 2026-03-24 22:01:57

494

Views

Is my proof valid? Let W1,W2 be subspaces finite-dim, IPS V with T1,T2 orthogonal projections on W1,W2. Show that T1T2=T0 iff W1 perp W2.

Published on 24 Mar 2026 - 22:01

score 391 · Answer 9 · 2026-03-24 22:07:44

391

Views

Let $T$ be a normal operator on a finite-dimensional complex inner product space. Show that if T is a projection, then it is an orthogonal projection.

Published on 24 Mar 2026 - 22:07

score 58 · Answer 10 · 2026-03-24 22:06:43

58

Views

I need help getting started with this one please (confusing Advanced Linear Algebra Problem)

Published on 24 Mar 2026 - 22:06

score 374 · Answer 11 · 2026-03-25 17:42:07

374

Views

Let $T$ be a self-adjoint operator on $V$ where $\beta$ is a basis for $V$. The matrix of $T$ is Hermitian if and only if $\beta$ is orthonormal.

Published on 25 Mar 2026 - 17:42

score 1.6k · Answer 12 · 2018-04-09 18:02:45

1.6k

Views

Prove that $\langle f,g \rangle = \int_0^1 f(t)g(t) dt$ is an inner product on $C([0,1])$

Published on 09 Apr 2018 - 18:02

score 26 · Answer 13 · 2018-04-10 00:28:31

26

Views

How to express $k(x,y)=e^{x^Ty}$ as $\langle\phi(x),\phi(y)\rangle$?

Published on 10 Apr 2018 - 0:28

score 391 · Answer 14 · 2026-03-25 22:04:23

391

Views

Calculate Adjoint of an operator with a non-standard inner product.

Published on 25 Mar 2026 - 22:04

score 524 · Answer 15 · 2026-03-23 01:57:19

524

Views

Why are the covariant and contravariant components of the metric tensor defined this way?

Published on 23 Mar 2026 - 1:57

List Question

Are there any difference in between inner product and hermitian inner product?

Does there exists an isomorphism such that $\langle \phi(v),\phi(w)\rangle_{1}=\langle v,w\rangle_{2}$? If so then how to construct it.

For a bilinear functional why we have $b(x,Ay) = b(A^Tx,y)$?

Existence of an isotropic vector orthogonal to a given one in a vector space over a finite field.

Define an inner product on $V$ by $\langle f,g\rangle$

Distance between 2 Orthogonal Unit vectors

Is the Scalar Product Definition in my book wrong?

Is my proof valid? Let W1,W2 be subspaces finite-dim, IPS V with T1,T2 orthogonal projections on W1,W2. Show that T1T2=T0 iff W1 perp W2.

Let $T$ be a normal operator on a finite-dimensional complex inner product space. Show that if T is a projection, then it is an orthogonal projection.

I need help getting started with this one please (confusing Advanced Linear Algebra Problem)

Let $T$ be a self-adjoint operator on $V$ where $\beta$ is a basis for $V$. The matrix of $T$ is Hermitian if and only if $\beta$ is orthonormal.

Prove that $\langle f,g \rangle = \int_0^1 f(t)g(t) dt$ is an inner product on $C([0,1])$

How to express $k(x,y)=e^{x^Ty}$ as $\langle\phi(x),\phi(y)\rangle$?

Calculate Adjoint of an operator with a non-standard inner product.

Why are the covariant and contravariant components of the metric tensor defined this way?

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