Question

How to prove Schwarz inequality for Hermitian forms?

score 2.8k · Answer 1 · 2026-04-12 11:32:22

2.8k

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How to prove Schwarz inequality for Hermitian forms?

Published on 12 Apr 2026 - 11:32

score 64 · Answer 2 · 2026-04-10 09:26:44

64

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A basic question self-adjoint operator

Published on 10 Apr 2026 - 9:26

score 323 · Answer 3 · 2026-04-09 15:08:38

323

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Necessary and sufficient conditions for a normal operator to be self-adjoint

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score 1.5k · Answer 4 · 2026-04-15 17:24:07

1.5k

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$l_0$ is all sequences with finitely many non-zero terms. Show $W^\perp=\{y: <x,y>=0, x\in W\}=\{0\}$ where $W = \{x : <x,a>=0\}$.

Published on 15 Apr 2026 - 17:24

score 4.1k · Answer 5 · 2026-04-12 23:09:53

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Defining an inner product from a norm which satisfies parallelogram law

Published on 12 Apr 2026 - 23:09

score 3.9k · Answer 6 · 2026-04-11 14:09:24

3.9k

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Two inner products being equal up to a scalar

Published on 11 Apr 2026 - 14:09

score 7.2k · Answer 7 · 2026-04-14 02:27:42

7.2k

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$||\underline{x}+\underline{y}||= ||\underline{x}-\underline{y}||$ implies x is perpendicular to y.

Published on 14 Apr 2026 - 2:27

score 217 · Answer 8 · 2026-04-12 15:01:55

217

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How to judge whether there is a positive definite matrix $A$,that $AX=B$,where $X,B$ are given column vectors.

Published on 12 Apr 2026 - 15:01

score 418 · Answer 9 · 2026-04-14 01:53:26

418

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Show that orthogonal complement is trivial

Published on 14 Apr 2026 - 1:53

score 2k · Answer 10 · 2026-04-14 11:42:09

2k

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Orthogonal Projection of a matrix

Published on 14 Apr 2026 - 11:42

score 110 · Answer 11 · 2026-04-10 04:17:17

110

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inequality about Inner product and norm

Published on 10 Apr 2026 - 4:17

score 90 · Answer 12 · 2026-04-12 13:32:39

90

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Schwarz Inequality Proof: The Mystery of the Disappearing Vector

Published on 12 Apr 2026 - 13:32

score 1.1k · Answer 13 · 2026-04-14 22:30:46

1.1k

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Why isn't $\langle i,1\rangle=0$ for a complex inner product?

Published on 14 Apr 2026 - 22:30

score 33 · Answer 14 · 2026-04-13 17:47:32

33

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How can I find $f^{ad}$ along with $\operatorname{Im} f^{ad}$ and $\operatorname{Null} f^{ad}$?

Published on 13 Apr 2026 - 17:47

score 277 · Answer 15 · 2026-04-17 00:22:35

277

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Cauchy Schwarz Inequality Original Reference

Published on 17 Apr 2026 - 0:22

List Question

How to prove Schwarz inequality for Hermitian forms?

A basic question self-adjoint operator

Necessary and sufficient conditions for a normal operator to be self-adjoint

$l_0$ is all sequences with finitely many non-zero terms. Show $W^\perp=\{y: <x,y>=0, x\in W\}=\{0\}$ where $W = \{x : <x,a>=0\}$.

Defining an inner product from a norm which satisfies parallelogram law

Two inner products being equal up to a scalar

$||\underline{x}+\underline{y}||= ||\underline{x}-\underline{y}||$ implies x is perpendicular to y.

How to judge whether there is a positive definite matrix $A$,that $AX=B$,where $X,B$ are given column vectors.

Show that orthogonal complement is trivial

Orthogonal Projection of a matrix

inequality about Inner product and norm

Schwarz Inequality Proof: The Mystery of the Disappearing Vector

Why isn't $\langle i,1\rangle=0$ for a complex inner product?

How can I find $f^{ad}$ along with $\operatorname{Im} f^{ad}$ and $\operatorname{Null} f^{ad}$?

Cauchy Schwarz Inequality Original Reference

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