List questions from hilbert-spaces

Published on 05 Dec 2018 - 20:36

152

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Exercise about the Sturm-Liouville problems

Published on 25 Mar 2026 - 1:25

395

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Applications of $L_p$ spaces

Published on 25 Mar 2026 - 12:37

104

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Inner Product and Operators: Exercise with vectors with three indices

Published on 28 Mar 2026 - 4:34

981

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Convolution of a compactly supported function and an $L^1$ function.

Published on 26 Mar 2026 - 17:28

176

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Why is $L³$ continuously embedded into $H^{-1}$, the dual of $H¹_0$?

Published on 07 Dec 2018 - 15:17

359

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Resolvent Set of Adjoint is Complex Conjugate

Published on 26 Mar 2026 - 9:19

110

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To prove an inequality regarding to the resolvent of a self-adjoint operator.

Published on 25 Mar 2026 - 6:12

105

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Prove that $T$ is the orthonal projection on the range of the right shift

Published on 09 Dec 2018 - 13:58

148

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If $\ $ $yx_n\to 0 $ for all $y$ in the C$^*$-algebra A, Is it true that $x_n$ is weakly convergent to $0$?

Published on 27 Mar 2026 - 13:02

94

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$v \subseteq H \implies V^\bot$ is a closed subspace of the Hilbert space $H$

Published on 27 Mar 2026 - 0:04

88

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Showing that $Y = \cup_{n=1}^\infty Y_n$ is dense over the Hilbert $H$.

Published on 25 Mar 2026 - 11:24

140

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To find a symmetric operator that is not essentially self-adjoint under some conditions.

Published on 25 Mar 2026 - 6:11

213

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Norm limit of sequence of orthogonal projections on Hilbert space "contractive"

Published on 25 Mar 2026 - 14:47

80

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A sequence with finite inner product with any element of $\ell^2$ is itself in $\ell^2$

Published on 11 Dec 2018 - 14:42

List Question

Subset of $\ell^2$ with distance property

Exercise about the Sturm-Liouville problems

Applications of $L_p$ spaces

Inner Product and Operators: Exercise with vectors with three indices

Convolution of a compactly supported function and an $L^1$ function.

Why is $L³$ continuously embedded into $H^{-1}$, the dual of $H¹_0$?

Resolvent Set of Adjoint is Complex Conjugate

To prove an inequality regarding to the resolvent of a self-adjoint operator.

Prove that $T$ is the orthonal projection on the range of the right shift

If $\ $ $yx_n\to 0 $ for all $y$ in the C$^*$-algebra A, Is it true that $x_n$ is weakly convergent to $0$?

$v \subseteq H \implies V^\bot$ is a closed subspace of the Hilbert space $H$

Showing that $Y = \cup_{n=1}^\infty Y_n$ is dense over the Hilbert $H$.

To find a symmetric operator that is not essentially self-adjoint under some conditions.

Norm limit of sequence of orthogonal projections on Hilbert space "contractive"

A sequence with finite inner product with any element of $\ell^2$ is itself in $\ell^2$

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