List questions from hilbert-spaces

68

Views

$\Vert . \Vert_{H^1}$ is induced by an inner product and $(H_0^1, \Vert . \Vert_{H^1})$ is a Hilbert space

Published on 11 Apr 2026 - 0:56

95

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Orthogonality in Hilbert space

Published on 11 Apr 2026 - 2:17

123

Views

Hilbert space operator norm

Published on 10 Apr 2026 - 22:15

152

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Showing that the set $D = \{\|x\|\ |\ x\in\ K\}$ of closed convex subset $K$ of a Hilbert space $H$ is itself closed.

Published on 04 Apr 2026 - 15:21

691

Views

Applications of Lax Milgram theorem

Published on 10 Apr 2026 - 19:11

862

Views

Inner product in dual Hilbert space

Published on 10 Apr 2026 - 18:10

87

Views

Non-Archimedean Banach spaces with automorphism groups that are transitive on the unit sphere

Published on 10 Apr 2026 - 3:26

141

Views

Show that $\text{ker}(T^*T)=\text{ker}(T)$

Published on 27 Mar 2026 - 23:01

169

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Characterization of orthogonal projection.

Published on 10 Apr 2026 - 22:01

33

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Continuous dependence of solutions to variational inequality wrt. right hand side

Published on 05 Dec 2016 - 11:20

62

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Weakly convergence and pointwise convergence of $L^2$

Published on 06 Apr 2026 - 1:51

1k

Views

Process to complete a pre Hilbert space?

Published on 11 Apr 2026 - 3:43

233

Views

Limitations that make a simple euclidean space a Hilbert space

Published on 26 Mar 2026 - 19:06

404

Views

Construction of tensor products of Hilbert spaces with different scalar fields.

Published on 07 Dec 2016 - 16:26

348

Views

Complete orthonormal system in $L_2(a,b)$

Published on 07 Dec 2016 - 22:46

List Question

$\Vert . \Vert_{H^1}$ is induced by an inner product and $(H_0^1, \Vert . \Vert_{H^1})$ is a Hilbert space

Orthogonality in Hilbert space

Hilbert space operator norm

Showing that the set $D = \{\|x\|\ |\ x\in\ K\}$ of closed convex subset $K$ of a Hilbert space $H$ is itself closed.

Applications of Lax Milgram theorem

Inner product in dual Hilbert space

Non-Archimedean Banach spaces with automorphism groups that are transitive on the unit sphere

Show that $\text{ker}(T^*T)=\text{ker}(T)$

Characterization of orthogonal projection.

Continuous dependence of solutions to variational inequality wrt. right hand side

Weakly convergence and pointwise convergence of $L^2$

Process to complete a pre Hilbert space?

Limitations that make a simple euclidean space a Hilbert space

Construction of tensor products of Hilbert spaces with different scalar fields.

Complete orthonormal system in $L_2(a,b)$

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