List questions from hilbert-spaces

Published on 01 Apr 2026 - 15:00

2.3k

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Dense subspaces, closed subspaces and unbounded operators in Hilbert spaces

Published on 02 Dec 2014 - 10:51

144

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How to show that a vector space is closed?

Published on 02 Dec 2014 - 18:07

71

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CAR-Algebra: Nontriviality?

Published on 27 Mar 2026 - 6:42

363

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Limits of trajectory of gradient flow in Hilbert space

Published on 25 Mar 2026 - 16:01

87

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Need countereample : If a sequence $(a_n) \in l^2 $ , then the sequence $(1/a_n) \notin l^2 $

Published on 03 Dec 2014 - 3:14

2.1k

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Function of Pauli matrices

Published on 03 Dec 2014 - 6:50

120

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Degenerate Hilbert-Schmidt operators

Published on 02 Apr 2026 - 12:41

4.3k

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A subspace $X$ is closed iff $X =( X^\perp)^\perp$

Published on 04 Dec 2014 - 14:55

3.1k

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Direct sum of kernel and image of the adjoint operator

Published on 04 Dec 2014 - 19:08

6.5k

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The spectral radius of normal operator

Published on 25 Mar 2026 - 15:59

82

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$\ker (I-A)=\{0\}\Rightarrow\text{im }(I-A)=H$ for $A:H\to H$ compact

Published on 05 Dec 2014 - 9:08

89

Views

Calculation of operator norm

Published on 05 Dec 2014 - 11:38

541

Views

Reiterate Volterra integral operator is a contraction

Published on 05 Dec 2014 - 11:58

289

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0 limit point of spectrum of completely continuous operator $H\to H$

Published on 06 Dec 2014 - 14:40

List Question

$H_0^1(\Omega)$ with $(u,v)_{H_0^1} = \int\nabla u \cdot \nabla v$

Dense subspaces, closed subspaces and unbounded operators in Hilbert spaces

How to show that a vector space is closed?

CAR-Algebra: Nontriviality?

Limits of trajectory of gradient flow in Hilbert space

Need countereample : If a sequence $(a_n) \in l^2 $ , then the sequence $(1/a_n) \notin l^2 $

Function of Pauli matrices

Degenerate Hilbert-Schmidt operators

A subspace $X$ is closed iff $X =( X^\perp)^\perp$

Direct sum of kernel and image of the adjoint operator

The spectral radius of normal operator

$\ker (I-A)=\{0\}\Rightarrow\text{im }(I-A)=H$ for $A:H\to H$ compact

Calculation of operator norm

Reiterate Volterra integral operator is a contraction

0 limit point of spectrum of completely continuous operator $H\to H$

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