Question

Proving $\left|\left|\vec{w}\right|\right|^2 \ge \sum_{j=1}^n\left|\langle\vec{w},\vec{u}_j\rangle\right|^2$.

score 50 · Answer 1 · 2014-12-06 04:10:12

50

Views

Proving $\left|\left|\vec{w}\right|\right|^2 \ge \sum_{j=1}^n\left|\langle\vec{w},\vec{u}_j\rangle\right|^2$.

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score 64 · Answer 2 · 2014-12-07 18:17:10

64

Views

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score 5.4k · Answer 3 · 2026-03-27 00:09:40

5.4k

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score 15k · Answer 4 · 2026-03-26 16:06:53

15k

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score 2.6k · Answer 5 · 2014-12-13 12:47:52

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score 59 · Answer 6 · 2026-03-27 00:03:39

59

Views

Adjoint linear operators and inner products question; why does $\langle T(x),T(x)\rangle =\langle T^*T(x),x\rangle $?

Published on 27 Mar 2026 - 0:03

score 152 · Answer 7 · 2014-12-15 16:17:36

152

Views

Computing inner products with linearity in the first argument.

Published on 15 Dec 2014 - 16:17

score 79 · Answer 8 · 2014-12-15 16:48:09

79

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Inner prodcut space for complex numbers including complex conjugation

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score 755 · Answer 9 · 2026-03-25 11:16:48

755

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Applying Gram-Schmidt process to a set of vectors to find first three polynomials orthogonal with respect to inner product

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score 561 · Answer 10 · 2026-03-28 21:34:27

561

Views

Using trigonometric identity to compute an inner product through an integral to form an orthogonal sequence of functions.

Published on 28 Mar 2026 - 21:34

score 129 · Answer 11 · 2026-03-27 23:29:58

129

Views

Proofs involving positive real numbers

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score 125 · Answer 12 · 2026-04-02 17:01:18

125

Views

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score 124 · Answer 13 · 2026-03-27 07:36:31

124

Views

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score 895 · Answer 14 · 2014-12-17 07:19:48

895

Views

Show that $L^2 ([ a, b])$ is the only inner product space among the spaces $L^P([a, b])$.

Published on 17 Dec 2014 - 7:19

score 320 · Answer 15 · 2014-12-18 06:58:40

Is it possible to extend the inner product from an incomplete inner product space E onto H ,such that H would become a Hilbert space?

List Question

Proving $\left|\left|\vec{w}\right|\right|^2 \ge \sum_{j=1}^n\left|\langle\vec{w},\vec{u}_j\rangle\right|^2$.

A conceptual question about inner product spaces for continuous functions and bases.

Kernel of adjoint and orthogonal complement images

Find an orthogonal basis for W.

Why are every structures I study based on Real number?

Adjoint linear operators and inner products question; why does $\langle T(x),T(x)\rangle =\langle T^*T(x),x\rangle $?

Computing inner products with linearity in the first argument.

Inner prodcut space for complex numbers including complex conjugation

Applying Gram-Schmidt process to a set of vectors to find first three polynomials orthogonal with respect to inner product

Using trigonometric identity to compute an inner product through an integral to form an orthogonal sequence of functions.

Proofs involving positive real numbers

Inner product identity

Linear Algebra - Inner Products, Functions, and Closet Polynomial

Show that $L^2 ([ a, b])$ is the only inner product space among the spaces $L^P([a, b])$.

Is it possible to extend the inner product from an incomplete inner product space E onto H ,such that H would become a Hilbert space?

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