Question

How to derive the line element from the Fubini-Study metric?

score 329 · Answer 1 · 2026-04-11 00:56:57

329

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How to derive the line element from the Fubini-Study metric?

Published on 11 Apr 2026 - 0:56

score 2.1k · Answer 2 · 2017-01-23 22:33:08

2.1k

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Is self-adjointness really a property of an operator, or of an operator and an inner product?

Published on 23 Jan 2017 - 22:33

score 543 · Answer 3 · 2026-04-11 18:13:06

543

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Can the Hilbert space from Gaussian kernel admit a basis with uncountable vectors?

Published on 11 Apr 2026 - 18:13

score 62 · Answer 4 · 2026-04-11 12:45:38

62

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Existence as a linear and bounded operator and nonexpansive

Published on 11 Apr 2026 - 12:45

score 39 · Answer 5 · 2026-04-12 07:14:10

39

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Formulate the linear operator in infinite dimension using its eigenfunctions

Published on 12 Apr 2026 - 7:14

score 4.2k · Answer 6 · 2026-04-12 08:07:01

4.2k

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Computing the Fourier transform of $H_k(x)e^{-x^2/2}$, where $H_k$ is the Hermite polynomial.

Published on 12 Apr 2026 - 8:07

score 1.3k · Answer 7 · 2026-04-10 18:08:29

1.3k

Views

Why weak convergence doesn't imply convergence?

Published on 10 Apr 2026 - 18:08

score 165 · Answer 8 · 2026-04-10 22:29:21

165

Views

Polar decomposition: analogy between unit circle and partial isometry

Published on 10 Apr 2026 - 22:29

score 87 · Answer 9 · 2026-04-12 08:28:54

87

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A certain linear functional in the subspace of summable sequences in $\ell^2.$

Published on 12 Apr 2026 - 8:28

score 61 · Answer 10 · 2017-01-28 18:38:03

61

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There are any closed subspaces for $\ell^{2}$ such that $H_{s} \subset H_{t}$ such that $s < t$ for $0 \leq s, t \leq 1$?

Published on 28 Jan 2017 - 18:38

score 362 · Answer 11 · 2026-04-06 08:43:30

362

Views

from weakly convergent sequence to strongly convergent sequence in a non-compact operator

Published on 06 Apr 2026 - 8:43

score 136 · Answer 12 · 2026-04-09 07:19:20

136

Views

Showing two conditions are equivalent for a non-empty convex set $K$ of a Hilbert Space $X$.

Published on 09 Apr 2026 - 7:19

score 2.2k · Answer 13 · 2026-04-08 02:29:59

2.2k

Views

Prove that the hilbert cube is compact

Published on 08 Apr 2026 - 2:29

score 96 · Answer 14 · 2017-02-01 22:01:57

96

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Prove that $\left\{\frac{1}{\sqrt{2\pi}^N}e^{ih\cdot x}\right\}_{h \in \mathbb{Z}^N}$ is a maximal orthonormal set in $L^2([-\pi,\pi]^N)$

Published on 01 Feb 2017 - 22:01

score 81 · Answer 15 · 2017-02-02 02:27:58

81

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Is this construction of the tensor product of Hilbert spaces valid?

Published on 02 Feb 2017 - 2:27

List Question

How to derive the line element from the Fubini-Study metric?

Is self-adjointness really a property of an operator, or of an operator and an inner product?

Can the Hilbert space from Gaussian kernel admit a basis with uncountable vectors?

Existence as a linear and bounded operator and nonexpansive

Formulate the linear operator in infinite dimension using its eigenfunctions

Computing the Fourier transform of $H_k(x)e^{-x^2/2}$, where $H_k$ is the Hermite polynomial.

Why weak convergence doesn't imply convergence?

Polar decomposition: analogy between unit circle and partial isometry

A certain linear functional in the subspace of summable sequences in $\ell^2.$

There are any closed subspaces for $\ell^{2}$ such that $H_{s} \subset H_{t}$ such that $s < t$ for $0 \leq s, t \leq 1$?

from weakly convergent sequence to strongly convergent sequence in a non-compact operator

Showing two conditions are equivalent for a non-empty convex set $K$ of a Hilbert Space $X$.

Prove that the hilbert cube is compact

Prove that $\left\{\frac{1}{\sqrt{2\pi}^N}e^{ih\cdot x}\right\}_{h \in \mathbb{Z}^N}$ is a maximal orthonormal set in $L^2([-\pi,\pi]^N)$

Is this construction of the tensor product of Hilbert spaces valid?

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