Question

Why $\langle y,x\rangle+\langle x,y\rangle=2\mathrm{Re}\langle x,y\rangle$? And the rules of using absolute value, inner production and norm?

score 675 · Answer 1 · 2014-04-07 13:46:44

Why $\langle y,x\rangle+\langle x,y\rangle=2\mathrm{Re}\langle x,y\rangle$? And the rules of using absolute value, inner production and norm?

score 1.6k · Answer 2 · 2014-04-07 17:10:32

1.6k

Views

Inner product over the $C^2$

Published on 07 Apr 2014 - 17:10

score 1k · Answer 3 · 2014-04-09 00:44:38

1k

Views

$x$ is orthogonal to $y$ iff $\|x+ay\| \geq \|x\|$ where $x \in C$

Published on 09 Apr 2014 - 0:44

score 110 · Answer 4 · 2014-04-10 21:24:37

110

Views

Notation question: What does $\langle X, - \rangle$ exactly mean?

Published on 10 Apr 2014 - 21:24

score 500 · Answer 5 · 2026-03-26 06:28:42

500

Views

Is $u^TAu \geq 0$ true for all symmetric matrices $A$?

Published on 26 Mar 2026 - 6:28

score 341 · Answer 6 · 2014-04-11 15:08:08

341

Views

is the inner product of two functions an absolute value?

Published on 11 Apr 2014 - 15:08

score 1.4k · Answer 7 · 2026-03-28 00:35:30

1.4k

Views

In an incomplete inner product space, is a closed linear subspace equal to the orthogonal complement of its orthogonal complement?

Published on 28 Mar 2026 - 0:35

score 531 · Answer 8 · 2014-04-14 12:36:36

531

Views

Which of the following expresses the fact that the vectors $u$ and $v$ have the same length?

Published on 14 Apr 2014 - 12:36

score 64 · Answer 9 · 2014-04-14 14:02:33

64

Views

Is the polar of the polar set the original set?

Published on 14 Apr 2014 - 14:02

score 185 · Answer 10 · 2026-04-01 06:30:22

185

Views

Need help proving the equivalence of two norms?

Published on 01 Apr 2026 - 6:30

score 3.1k · Answer 11 · 2014-04-18 19:20:11

3.1k

Views

Inner products and distributive property

Published on 18 Apr 2014 - 19:20

score 1.5k · Answer 12 · 2014-04-20 06:08:58

1.5k

Views

V = U⊕W then Prove that (V/W)* is isomorphic to W^0

Published on 20 Apr 2014 - 6:08

score 425 · Answer 13 · 2014-04-20 13:43:25

425

Views

inner product space , dual space, proof about isomorphism

Published on 20 Apr 2014 - 13:43

score 167 · Answer 14 · 2014-04-20 13:49:18

167

Views

How to show: $\exists$ L such that $X\neq L\oplus L^{\perp}$

Published on 20 Apr 2014 - 13:49

score 230 · Answer 15 · 2014-04-21 14:25:51

230

Views

Prove that the mapping $\psi : L(V,W) \rightarrow L(W^, V^)$ given by $\psi(T) = T^t$ is an isomorphism.

Published on 21 Apr 2014 - 14:25

List Question

Why $\langle y,x\rangle+\langle x,y\rangle=2\mathrm{Re}\langle x,y\rangle$? And the rules of using absolute value, inner production and norm?

Inner product over the $C^2$

$x$ is orthogonal to $y$ iff $\|x+ay\| \geq \|x\|$ where $x \in C$

Notation question: What does $\langle X, - \rangle$ exactly mean?

Is $u^TAu \geq 0$ true for all symmetric matrices $A$?

is the inner product of two functions an absolute value?

In an incomplete inner product space, is a closed linear subspace equal to the orthogonal complement of its orthogonal complement?

Which of the following expresses the fact that the vectors $u$ and $v$ have the same length?

Is the polar of the polar set the original set?

Need help proving the equivalence of two norms?

Inner products and distributive property

V = U⊕W then Prove that (V/W)* is isomorphic to W^0

inner product space , dual space, proof about isomorphism

How to show: $\exists$ L such that $X\neq L\oplus L^{\perp}$

Prove that the mapping $\psi : L(V,W) \rightarrow L(W^, V^)$ given by $\psi(T) = T^t$ is an isomorphism.

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