Question

Necessary and sufficient condition for the existence of a positive operator in a finite-dimensional inner product space

score 181 · Answer 1 · 2026-03-26 17:37:13

181

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Necessary and sufficient condition for the existence of a positive operator in a finite-dimensional inner product space

Published on 26 Mar 2026 - 17:37

score 288 · Answer 2 · 2020-04-29 09:18:46

288

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An inequality for inner product space: $\|a+b\|+\|b+c\|+\|c+a\|\le\|a\|+\|b\|+\|c\|+\|a+b+c\|$

Published on 29 Apr 2020 - 9:18

score 1.4k · Answer 3 · 2020-04-29 17:54:12

1.4k

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Prove whether or not the following is an inner product?

Published on 29 Apr 2020 - 17:54

score 44 · Answer 4 · 2026-03-26 22:12:04

44

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How $u$ equal $0$?

Published on 26 Mar 2026 - 22:12

score 49 · Answer 5 · 2020-05-01 14:56:39

49

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Is this a state on $M_n(\mathbb{C})?$

Published on 01 May 2020 - 14:56

score 63 · Answer 6 · 2020-05-01 15:22:10

63

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What can we infer from (x|y)=(x|z) in a real inner product space?

Published on 01 May 2020 - 15:22

score 120 · Answer 7 · 2020-05-01 15:45:03

120

Views

Positivity of a complex-valued inner product

Published on 01 May 2020 - 15:45

score 49 · Answer 8 · 2026-03-25 12:50:01

49

Views

Let, $G$ be a subgroup of $GL_n(\Bbb{C})$. Prove that, $\exists$ an inner product on $\Bbb{C}^n$ such that $G\subset U_n$

Published on 25 Mar 2026 - 12:50

score 137 · Answer 9 · 2026-03-26 08:03:37

137

Views

Geodesic- the derivation of thei scalar product

Published on 26 Mar 2026 - 8:03

score 80 · Answer 10 · 2026-03-27 13:11:26

80

Views

Infinite-dimensional inner product spaces: if $A$ is a skew operator, does it follow that $A-I$ is invertible?

Published on 27 Mar 2026 - 13:11

score 897 · Answer 11 · 2020-05-06 09:43:12

897

Views

Why is the inner product of two square integrable function finite?

Published on 06 May 2020 - 9:43

score 127 · Answer 12 · 2020-05-06 13:11:03

127

Views

Variant of Parseval equality in Hilbert space

Published on 06 May 2020 - 13:11

score 44 · Answer 13 · 2026-03-29 22:12:38

44

Views

Expressing an Inner-Product Space as a Direct Sum

Published on 29 Mar 2026 - 22:12

score 93 · Answer 14 · 2020-05-07 16:12:06

93

Views

Find two sequences which are orthogonal but not their limit

Published on 07 May 2020 - 16:12

score 157 · Answer 15 · 2026-03-25 14:25:22

157

Views

Prove there exists an orthonormal basis $\gamma$ for V such that the first k columns of $[U]_{\gamma}$ form an orthonormal set

Published on 25 Mar 2026 - 14:25

List Question

Necessary and sufficient condition for the existence of a positive operator in a finite-dimensional inner product space

An inequality for inner product space: $\|a+b\|+\|b+c\|+\|c+a\|\le\|a\|+\|b\|+\|c\|+\|a+b+c\|$

Prove whether or not the following is an inner product?

How $u$ equal $0$?

Is this a state on $M_n(\mathbb{C})?$

What can we infer from (x|y)=(x|z) in a real inner product space?

Positivity of a complex-valued inner product

Let, $G$ be a subgroup of $GL_n(\Bbb{C})$. Prove that, $\exists$ an inner product on $\Bbb{C}^n$ such that $G\subset U_n$

Geodesic- the derivation of thei scalar product

Infinite-dimensional inner product spaces: if $A$ is a skew operator, does it follow that $A-I$ is invertible?

Why is the inner product of two square integrable function finite?

Variant of Parseval equality in Hilbert space

Expressing an Inner-Product Space as a Direct Sum

Find two sequences which are orthogonal but not their limit

Prove there exists an orthonormal basis $\gamma$ for V such that the first k columns of $[U]_{\gamma}$ form an orthonormal set

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