List questions from hilbert-spaces

Published on 07 Dec 2019 - 5:44

604

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If a linear operator in a Hilbert space preserves weak convergence, it must be continuous

Published on 07 Dec 2019 - 8:56

184

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On a characterization of compact operator in Hilbert space

Published on 26 Mar 2026 - 22:13

140

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Show $\sup_{0≤f∈L^2}\frac{\|Af\|_{L^2}}{\|f\|_{L^2}}=\sup_{0≤f∈L^2}\frac{⟨Af,f⟩_{L^2}}{\|f\|_{L^2}^2}$ for self-adjoint nonnegativity-preserving $A$

Published on 25 Mar 2026 - 14:25

406

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Compact Operators and Inner Product of Weakly Convergent Sequences

Published on 27 Mar 2026 - 0:03

673

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Volterra Bounded Operator

Published on 04 Apr 2026 - 12:05

215

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Generalized version of Hilbert's projection Theorem

Published on 08 Dec 2019 - 22:49

158

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Orthogonal projections over the space of linear functions.

Published on 26 Mar 2026 - 22:53

75

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Show $A = \{ u \in S^+(E) \textrm{ | } \forall x \in K, \langle x, u(x) \rangle \leq 1 \}$ is a compact set

Published on 25 Mar 2026 - 17:40

258

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Convergence Absolute Value Operators

Published on 10 Dec 2019 - 17:15

60

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Resolvent convergence with only zero intersection of domains?

Published on 25 Mar 2026 - 10:53

24

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$|f(x)|^2$ in the definition of Hilbert Space

Published on 11 Dec 2019 - 9:40

35

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Is this a linear functional on $H^1$?

Published on 11 Dec 2019 - 14:05

66

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How to find a constant such that this inequality holds in $H^1$

Published on 25 Mar 2026 - 15:53

253

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Let $T$ a compact operator in $L^2([0,1])$, show that $\lim_{n\to \infty }\sqrt{n}\|Tx^n\|_2=0$

Published on 26 Mar 2026 - 20:44

List Question

Projection Operator Self-Adjointness

If a linear operator in a Hilbert space preserves weak convergence, it must be continuous

On a characterization of compact operator in Hilbert space

Show $\sup_{0≤f∈L^2}\frac{\|Af\|_{L^2}}{\|f\|_{L^2}}=\sup_{0≤f∈L^2}\frac{⟨Af,f⟩_{L^2}}{\|f\|_{L^2}^2}$ for self-adjoint nonnegativity-preserving $A$

Compact Operators and Inner Product of Weakly Convergent Sequences

Volterra Bounded Operator

Generalized version of Hilbert's projection Theorem

Orthogonal projections over the space of linear functions.

Show $A = \{ u \in S^+(E) \textrm{ | } \forall x \in K, \langle x, u(x) \rangle \leq 1 \}$ is a compact set

Convergence Absolute Value Operators

Resolvent convergence with only zero intersection of domains?

$|f(x)|^2$ in the definition of Hilbert Space

Is this a linear functional on $H^1$?

How to find a constant such that this inequality holds in $H^1$

Let $T$ a compact operator in $L^2([0,1])$, show that $\lim_{n\to \infty }\sqrt{n}\|Tx^n\|_2=0$

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