Question

Defining an inner abstract vector space

score 80 · Answer 1 · 2014-07-23 13:51:06

80

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Defining an inner abstract vector space

Published on 23 Jul 2014 - 13:51

score 56 · Answer 2 · 2026-04-01 09:43:41

56

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How do the inner products on $L^2$ look like?

Published on 01 Apr 2026 - 9:43

score 1.7k · Answer 3 · 2026-03-26 11:01:02

1.7k

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Project sin(x) onto orthonormal basis that span ${(1, x, x^2, x^3, x^4, x^5)}$ on domain $[-\pi, \pi]$

Published on 26 Mar 2026 - 11:01

score 3k · Answer 4 · 2026-03-26 20:16:58

3k

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If $\|Tv\|=\|T^*v\|$ for all $v\in V$, then $T$ is a normal operator

Published on 26 Mar 2026 - 20:16

score 8k · Answer 5 · 2026-03-26 12:37:07

8k

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Fourier coefficients with respect to an orthonormal basis for an inner product space

Published on 26 Mar 2026 - 12:37

score 89 · Answer 6 · 2014-07-30 09:56:26

89

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question about inner product and $f^*$

Published on 30 Jul 2014 - 9:56

score 14.4k · Answer 7 · 2026-03-26 12:35:54

14.4k

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How to find orthonormal basis for inner product space?

Published on 26 Mar 2026 - 12:35

score 1.7k · Answer 8 · 2014-07-30 21:55:17

1.7k

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If $v_1, \dots, v_m$ are linearly independent, then there is $w$ such that $\langle w, v_j \rangle > 0$ for all $j$

Published on 30 Jul 2014 - 21:55

score 8k · Answer 9 · 2014-08-04 13:09:11

8k

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Show that the sup-norm is not derived from an inner product

Published on 04 Aug 2014 - 13:09

score 3.5k · Answer 10 · 2014-08-12 19:11:05

3.5k

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Find the orthogonal projection of $f(x)=4x^2−4$ onto the subspace spanned by $g(x)=x−12$ and $h(x)=1$.

Published on 12 Aug 2014 - 19:11

score 8.4k · Answer 11 · 2026-03-26 09:19:43

8.4k

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Vector cross product identity for $(a\times b)\cdot(c \times d)$

Published on 26 Mar 2026 - 9:19

score 6.1k · Answer 12 · 2026-03-26 12:36:41

6.1k

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How can I prove that the span of a subspace and its orthogonal complement is the whole vector space?

Published on 26 Mar 2026 - 12:36

score 242 · Answer 13 · 2014-08-13 21:41:55

242

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Question about existence of unitary matrices with certain properties

Published on 13 Aug 2014 - 21:41

score 492 · Answer 14 · 2014-08-14 00:03:04

492

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Show that $(Au,Bv)=(u,A^tBv)$

Published on 14 Aug 2014 - 0:03

score 183 · Answer 15 · 2026-03-25 20:34:56

183

Views

Understanding a bilinear form problem from Greub's Multilinear Algebra

Published on 25 Mar 2026 - 20:34

List Question

Defining an inner abstract vector space

How do the inner products on $L^2$ look like?

Project sin(x) onto orthonormal basis that span ${(1, x, x^2, x^3, x^4, x^5)}$ on domain $[-\pi, \pi]$

If $\|Tv\|=\|T^*v\|$ for all $v\in V$, then $T$ is a normal operator

Fourier coefficients with respect to an orthonormal basis for an inner product space

question about inner product and $f^*$

How to find orthonormal basis for inner product space?

If $v_1, \dots, v_m$ are linearly independent, then there is $w$ such that $\langle w, v_j \rangle > 0$ for all $j$

Show that the sup-norm is not derived from an inner product

Find the orthogonal projection of $f(x)=4x^2−4$ onto the subspace spanned by $g(x)=x−12$ and $h(x)=1$.

Vector cross product identity for $(a\times b)\cdot(c \times d)$

How can I prove that the span of a subspace and its orthogonal complement is the whole vector space?

Question about existence of unitary matrices with certain properties

Show that $(Au,Bv)=(u,A^tBv)$

Understanding a bilinear form problem from Greub's Multilinear Algebra

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