List questions from hilbert-spaces

Published on 24 May 2018 - 11:44

176

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Square-summability of sequence of averages

Published on 24 May 2018 - 14:53

88

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Weak-* and strong operator convergence

Published on 24 May 2018 - 16:03

99

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Prove orthornormal set is a basis

Published on 25 Mar 2026 - 11:22

278

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Unitary conjugation preserves product forms

Published on 25 May 2018 - 8:33

139

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What is $\sum_k|\langle f,f_k\rangle|^2<\infty$ for all $f\in H$ a sufficient condition for a sequence to be a Bessel sequence?

Published on 23 Feb 2026 - 9:00

170

Views

Subspace $\ell^2$ is of first category

Published on 25 Mar 2026 - 18:47

67

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A map with a small bound on the ratio of Dini derivatives is injective on the unit ball in Hilbert spaces

Published on 26 May 2018 - 17:03

53

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Identifying $L^p$-space of a measure space with the $L^p$-space of a set.

Published on 25 Mar 2026 - 20:12

93

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Proving this condition for convergence in a Banach space

Published on 25 Mar 2026 - 6:11

427

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Self-adjoint operator with increasing sequence of eigenvalues

Published on 25 Mar 2026 - 23:35

54

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Fourier transform of $\phi(x) = \sinh (x) \delta[(x-\log2)\sinh(x)]$ and $\phi(x)=\dfrac{d}{dx}[xH(x-1)]$

Published on 25 Mar 2026 - 10:57

376

Views

Definition of a Lie group representation of a Hilbert Space

Published on 26 Mar 2026 - 16:06

1.7k

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The closure of range of $T^*$ and the complement of kernel of T

Published on 28 May 2018 - 19:04

115

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Subrepresentation defined by a projection

Published on 29 May 2018 - 12:20

List Question

Basis presentation of minimization problem

Square-summability of sequence of averages

Weak-* and strong operator convergence

Prove orthornormal set is a basis

Unitary conjugation preserves product forms

What is $\sum_k|\langle f,f_k\rangle|^2<\infty$ for all $f\in H$ a sufficient condition for a sequence to be a Bessel sequence?

Subspace $\ell^2$ is of first category

A map with a small bound on the ratio of Dini derivatives is injective on the unit ball in Hilbert spaces

Identifying $L^p$-space of a measure space with the $L^p$-space of a set.

Proving this condition for convergence in a Banach space

Self-adjoint operator with increasing sequence of eigenvalues

Fourier transform of $\phi(x) = \sinh (x) \delta[(x-\log2)\sinh(x)]$ and $\phi(x)=\dfrac{d}{dx}[xH(x-1)]$

Definition of a Lie group representation of a Hilbert Space

The closure of range of $T^*$ and the complement of kernel of T

Subrepresentation defined by a projection

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