Question

Prove that there is an inner product on $\mathbb{R}^2$ such that the associated norm is given by...

score 1.6k · Answer 1 · 2026-04-13 17:25:42

1.6k

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Prove that there is an inner product on $\mathbb{R}^2$ such that the associated norm is given by...

Published on 13 Apr 2026 - 17:25

score 494 · Answer 2 · 2026-04-15 02:38:11

494

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Suppose $\langle\cdot,\cdot\rangle_1$ and $\langle\cdot,\cdot\rangle_2$ are inner products on $V$ such that...

Published on 15 Apr 2026 - 2:38

score 807 · Answer 3 · 2026-04-13 02:51:53

807

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Showing something involving integrals is an inner product

Published on 13 Apr 2026 - 2:51

score 143 · Answer 4 · 2026-04-11 03:47:39

143

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Proof using self-adjoint property

Published on 11 Apr 2026 - 3:47

score 49 · Answer 5 · 2026-04-13 20:45:26

49

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Does $\langle \Psi, \mathbb{I} \rangle_G=\langle Res_H\Psi, \mathbb{I} \rangle_H$ always hold?

Published on 13 Apr 2026 - 20:45

score 34 · Answer 6 · 2026-04-11 19:50:30

34

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How do you prove that T and U are the same linear transformation on an inner product space V?

Published on 11 Apr 2026 - 19:50

score 406 · Answer 7 · 2026-04-11 14:19:53

406

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Prob. 3, Sec. 3.4 in Erwine Kreyszig's INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS: How to derive the Schwarz inequality?

Published on 11 Apr 2026 - 14:19

score 664 · Answer 8 · 2026-04-10 05:21:20

664

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Prob. 4, Sec. 3.4 in Erwine Kreyszig's INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS

Published on 10 Apr 2026 - 5:21

score 764 · Answer 9 · 2026-04-12 01:21:40

764

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Motive for the definition of inner product

Published on 12 Apr 2026 - 1:21

score 2k · Answer 10 · 2026-04-12 17:53:32

2k

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Is the norm on $\ell^\infty$ induced by an inner product?

Published on 12 Apr 2026 - 17:53

score 83 · Answer 11 · 2026-04-10 03:20:40

83

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When is the sign of inner products preserved?

Published on 10 Apr 2026 - 3:20

score 5.7k · Answer 12 · 2026-04-13 17:16:54

5.7k

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Inner product: $(x,z)=(y,z)\implies x=y$?

Published on 13 Apr 2026 - 17:16

score 156 · Answer 13 · 2026-04-12 06:17:59

156

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Concentration of measure of inner product in Hilbert space?

Published on 12 Apr 2026 - 6:17

score 157 · Answer 14 · 2026-04-15 15:28:42

157

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Eigenvalues of a Hermitian matrix and a Herminitian form

Published on 15 Apr 2026 - 15:28

score 157 · Answer 15 · 2026-04-09 04:57:26

157

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How can I prove the following theorem with explanation? please

Published on 09 Apr 2026 - 4:57

List Question

Prove that there is an inner product on $\mathbb{R}^2$ such that the associated norm is given by...

Suppose $\langle\cdot,\cdot\rangle_1$ and $\langle\cdot,\cdot\rangle_2$ are inner products on $V$ such that...

Showing something involving integrals is an inner product

Proof using self-adjoint property

Does $\langle \Psi, \mathbb{I} \rangle_G=\langle Res_H\Psi, \mathbb{I} \rangle_H$ always hold?

How do you prove that T and U are the same linear transformation on an inner product space V?

Prob. 3, Sec. 3.4 in Erwine Kreyszig's INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS: How to derive the Schwarz inequality?

Prob. 4, Sec. 3.4 in Erwine Kreyszig's INTRODUCTORY FUNCTIONAL ANALYSIS WITH APPLICATIONS

Motive for the definition of inner product

Is the norm on $\ell^\infty$ induced by an inner product?

When is the sign of inner products preserved?

Inner product: $(x,z)=(y,z)\implies x=y$?

Concentration of measure of inner product in Hilbert space?

Eigenvalues of a Hermitian matrix and a Herminitian form

How can I prove the following theorem with explanation? please

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