List questions from hilbert-spaces

Published on 12 Jan 2020 - 9:47

442

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Showing $x \in l^2 (\mathbb{N})$ by using the closed graph theorem

Published on 02 Apr 2026 - 15:50

29

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Separated seminormed space

Published on 12 Jan 2020 - 10:57

45

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Is this operator continuous?

Published on 12 Jan 2020 - 12:28

41

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Finding functionals $\omega_1, \ldots, \omega_n \in X^{*}$ such that $|| x || \leq \max_{i} | \omega_i (x)|$.

Published on 02 Apr 2026 - 15:51

55

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Construction of an operator on $\ell^2$

Published on 02 Apr 2026 - 13:44

224

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compute norm and weak limit in Hilbert space of $u^N = \frac{1}{\sqrt{N}} \sum_{k=1}^N e_k$

Published on 27 Mar 2026 - 0:59

99

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The Operator $T= -i \frac{d}{dx}$

Published on 02 Apr 2026 - 17:40

54

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Prove that $\||A|^{1/2}V|A|^{1/2}\|\leq \|A\|.$

Published on 14 Jan 2020 - 15:07

33

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Complementary Subspaces on Hilbert Space

Published on 14 Jan 2020 - 20:01

263

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Completeness of $L^{2}([-a,a])$

Published on 06 Apr 2026 - 9:52

126

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Minimizing a distance to a set on Hilbert space

Published on 27 Mar 2026 - 1:50

91

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Hilbert space: $\langle Ux, Uy \rangle = \langle x, y \rangle$ iff $\| Ux \| = \| x \|$

Published on 14 Jan 2020 - 22:13

99

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1-norm and 2-norm

Published on 15 Jan 2020 - 6:37

168

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Show in Hilbert space: $\|T(h)\| \geq C \|h\|$ for all $h \in (\operatorname{Ker}T)^\perp$ for closed range operator

Published on 29 Mar 2026 - 10:49

List Question

Relation between different inner products on space of functions on an interval $[a,b]$.

Showing $x \in l^2 (\mathbb{N})$ by using the closed graph theorem

Separated seminormed space

Is this operator continuous?

Finding functionals $\omega_1, \ldots, \omega_n \in X^{*}$ such that $|| x || \leq \max_{i} | \omega_i (x)|$.

Construction of an operator on $\ell^2$

compute norm and weak limit in Hilbert space of $u^N = \frac{1}{\sqrt{N}} \sum_{k=1}^N e_k$

The Operator $T= -i \frac{d}{dx}$

Prove that $\||A|^{1/2}V|A|^{1/2}\|\leq \|A\|.$

Complementary Subspaces on Hilbert Space

Completeness of $L^{2}([-a,a])$

Minimizing a distance to a set on Hilbert space

Hilbert space: $\langle Ux, Uy \rangle = \langle x, y \rangle$ iff $\| Ux \| = \| x \|$

1-norm and 2-norm

Show in Hilbert space: $\|T(h)\| \geq C \|h\|$ for all $h \in (\operatorname{Ker}T)^\perp$ for closed range operator

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