List questions from hilbert-spaces

Published on 13 Aug 2018 - 1:16

93

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Fourier transformation and eigenvalues

Published on 27 Mar 2026 - 5:15

798

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Characterization of maximal monotone operators

Published on 25 Mar 2026 - 20:09

1.6k

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Can a Hamel basis for an infinite-dimensional Hilbert space be orthonormal?

Published on 25 Mar 2026 - 1:36

258

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Range Bounded Self-Adjoint Operator

Published on 15 Aug 2018 - 4:29

14

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Understanding the subsets of $L^2(G)$ whose heighest weight of irrep constitutents is bounded.

Published on 03 Mar 2026 - 15:50

362

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Why a set is weakly sequentially precompact set?

Published on 25 Mar 2026 - 21:44

101

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Prove that $\langle Ax_n\;,\;x_n\rangle\to\langle Ax\;,\;x\rangle$

Published on 15 Aug 2018 - 14:31

65

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Is $\langle Ax,x \rangle\in \overline{M}$?

Published on 15 Aug 2018 - 17:04

767

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Basis of infinite dimensional Banach space and separable hilbert space

Published on 26 Mar 2026 - 23:09

407

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Dirac delta function like a "function" of an operator

Published on 26 Mar 2026 - 19:15

622

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Is there an orthonormal basis for $L^2([0,1])$ consisting of only even-degree polynomials?

Published on 25 Mar 2026 - 14:25

40

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For an orthonormal set in $L^{2}[0,1]$, show that $ \int_{A} \sum_{k=1}^{\infty} |f_{k}(x)|^{2} \geq 1$ for a non-zero measurable subset $A$.

Published on 19 Aug 2018 - 4:17

105

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Suppose $\mu$ and $\nu$ are finite positive measures on a measuable space

Published on 19 Aug 2018 - 21:08

267

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Let $f\in L^p (R)$ for $1\leq p<\infty$ and let $f_t(x)=f(x-t)$.

Published on 19 Aug 2018 - 21:39

List Question

Spectral theorem and strong convergence

Fourier transformation and eigenvalues

Characterization of maximal monotone operators

Can a Hamel basis for an infinite-dimensional Hilbert space be orthonormal?

Range Bounded Self-Adjoint Operator

Understanding the subsets of $L^2(G)$ whose heighest weight of irrep constitutents is bounded.

Why a set is weakly sequentially precompact set?

Prove that $\langle Ax_n\;,\;x_n\rangle\to\langle Ax\;,\;x\rangle$

Is $\langle Ax,x \rangle\in \overline{M}$?

Basis of infinite dimensional Banach space and separable hilbert space

Dirac delta function like a "function" of an operator

Is there an orthonormal basis for $L^2([0,1])$ consisting of only even-degree polynomials?

For an orthonormal set in $L^{2}[0,1]$, show that $ \int_{A} \sum_{k=1}^{\infty} |f_{k}(x)|^{2} \geq 1$ for a non-zero measurable subset $A$.

Suppose $\mu$ and $\nu$ are finite positive measures on a measuable space

Let $f\in L^p (R)$ for $1\leq p<\infty$ and let $f_t(x)=f(x-t)$.

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