Question

Is it possible to define an inner product in this vector space to make it an inner product space?

score 78 · Answer 1 · 2026-04-14 07:55:34

78

Views

Is it possible to define an inner product in this vector space to make it an inner product space?

Published on 14 Apr 2026 - 7:55

score 856 · Answer 2 · 2026-04-13 03:24:53

856

Views

Chebyshev polynomials over $C[-1,1]$ as an orthogonal system

Published on 13 Apr 2026 - 3:24

score 316 · Answer 3 · 2026-04-15 16:20:22

316

Views

If $M^\perp$ consists only of the zero vector, then is $M$ total in $X$?

Published on 15 Apr 2026 - 16:20

score 80 · Answer 4 · 2026-04-13 17:31:28

80

Views

Is this an inner product?

Published on 13 Apr 2026 - 17:31

score 72 · Answer 5 · 2026-04-13 05:58:35

72

Views

If $H$ is a Hilbert space then integral version of polarisation identity.

Published on 13 Apr 2026 - 5:58

score 127 · Answer 6 · 2026-04-16 00:19:57

127

Views

If $a$ and $b$ are vectors, such that $\|{a}\| = 7$ and $\|{b}\| = 11$, then find the smallest possible value of $\|{a} + b\|$.

Published on 16 Apr 2026 - 0:19

score 59 · Answer 7 · 2026-04-15 04:18:13

59

Views

Orthogonal functions in differential equations

Published on 15 Apr 2026 - 4:18

score 1.3k · Answer 8 · 2026-04-09 14:26:43

1.3k

Views

Pythagorean theorem in functional analysis

Published on 09 Apr 2026 - 14:26

score 1.1k · Answer 9 · 2026-04-09 20:39:33

1.1k

Views

Explanation for the proof of Ptolemy-inequality

Published on 09 Apr 2026 - 20:39

score 44 · Answer 10 · 2026-04-16 09:00:29

44

Views

$S=\{(\lambda_1,\lambda_2,...)|\sum_v \lambda_v^2<\infty\}$.Then$\sum_v \lambda_v \eta_v$ converges & $(x,y) =\sum_v \lambda_v\eta_v$ is inner product

Published on 16 Apr 2026 - 9:00

score 174 · Answer 11 · 2026-04-16 21:14:16

Find the matrix of $\langle f, g \rangle = \displaystyle\int_0^1 f(t) g(t) \, \mathrm dt$ with respect to the basis $\{1,t,\dots,t^n\}$

score 255 · Answer 12 · 2026-04-14 16:57:16

255

Views

If $E_1$ of a finite dimensional real inner product space, then every coset of $E/E_1$ contains exactly one vector orthogonal to $E_1$

Published on 14 Apr 2026 - 16:57

score 131 · Answer 13 · 2026-04-11 00:29:47

131

Views

Finding the matrix of a specific scalar product

Published on 11 Apr 2026 - 0:29

score 901 · Answer 14 · 2026-04-14 04:11:21

901

Views

Show that the parallelogram is a rhombus.

Published on 14 Apr 2026 - 4:11

score 917 · Answer 15 · 2026-04-15 07:30:17

917

Views

PDF of squared absolute value of inner product of complex Gaussian vectors

Published on 15 Apr 2026 - 7:30

List Question

Is it possible to define an inner product in this vector space to make it an inner product space?

Chebyshev polynomials over $C[-1,1]$ as an orthogonal system

If $M^\perp$ consists only of the zero vector, then is $M$ total in $X$?

Is this an inner product?

If $H$ is a Hilbert space then integral version of polarisation identity.

If $a$ and $b$ are vectors, such that $\|{a}\| = 7$ and $\|{b}\| = 11$, then find the smallest possible value of $\|{a} + b\|$.

Orthogonal functions in differential equations

Pythagorean theorem in functional analysis

Explanation for the proof of Ptolemy-inequality

$S=\{(\lambda_1,\lambda_2,...)|\sum_v \lambda_v^2<\infty\}$.Then$\sum_v \lambda_v \eta_v$ converges & $(x,y) =\sum_v \lambda_v\eta_v$ is inner product

Find the matrix of $\langle f, g \rangle = \displaystyle\int_0^1 f(t) g(t) \, \mathrm dt$ with respect to the basis $\{1,t,\dots,t^n\}$

If $E_1$ of a finite dimensional real inner product space, then every coset of $E/E_1$ contains exactly one vector orthogonal to $E_1$

Finding the matrix of a specific scalar product

Show that the parallelogram is a rhombus.

PDF of squared absolute value of inner product of complex Gaussian vectors

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