List questions from operator-theory

Published on 26 Mar 2026 - 3:12

74

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Regularity assumptions needed for the mild representation of the solution to an abstract ODE

Published on 26 Mar 2026 - 3:11

114

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Singular system of stacked compact operators

Published on 12 Apr 2026 - 3:38

534

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Uniform boundedness principle on dense subspace

Published on 11 Apr 2026 - 17:26

222

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Significance and application of Riesz Decomposition Theorem

Published on 11 Apr 2026 - 8:43

27

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$\nabla^nf(x_i)=\sum\limits_{k=0}^{n}(-1)^k\frac{n!}{k!(n-k)!}f(x_i-kh).$

Published on 15 Apr 2026 - 14:36

1k

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Operator norm of a functional

Published on 12 Apr 2026 - 17:00

181

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Operator norm in C*-algebra

Published on 09 Apr 2026 - 2:01

349

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Show the coercivity of a bilinear form

Published on 13 Apr 2026 - 4:39

99

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Eigen value of Hermitian Matrices

Published on 13 Apr 2026 - 5:56

78

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Is the operator $Af = \int_0^1 k(x,y) f(x) dx$ irreducible provided that $Af = f$ has unique solution such that $\int_0^1 f = 1$

Published on 25 Mar 2026 - 4:43

68

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What is the notion of "limiting infinite-dimensional operator" corresponding to limiting spectral distribution?

Published on 11 Apr 2026 - 2:01

89

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Proof that $\exp(\hat{L}) \hat{a} \exp(-\hat{L}) = \hat{a} + [\hat{L}, \hat{a}] + [\hat{L}, [\hat{L}, \hat{a}]]/2\dots$ .

Published on 15 Apr 2026 - 1:28

58

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A frame for $\mathbb{R}^n$ is a frame for $\mathbb{C}^n$

Published on 15 Apr 2026 - 12:02

311

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Compact operator from $H^1$ to $L^2$

Published on 11 Apr 2026 - 2:08

List Question

When is a $C_0$-semigroup with infinitesimal generator $A$ of the form $t\mapsto e^{tA}$?

Regularity assumptions needed for the mild representation of the solution to an abstract ODE

Singular system of stacked compact operators

Uniform boundedness principle on dense subspace

Significance and application of Riesz Decomposition Theorem

$\nabla^nf(x_i)=\sum\limits_{k=0}^{n}(-1)^k\frac{n!}{k!(n-k)!}f(x_i-kh).$

Operator norm of a functional

Operator norm in C*-algebra

Show the coercivity of a bilinear form

Eigen value of Hermitian Matrices

Is the operator $Af = \int_0^1 k(x,y) f(x) dx$ irreducible provided that $Af = f$ has unique solution such that $\int_0^1 f = 1$

What is the notion of "limiting infinite-dimensional operator" corresponding to limiting spectral distribution?

Proof that $\exp(\hat{L}) \hat{a} \exp(-\hat{L}) = \hat{a} + [\hat{L}, \hat{a}] + [\hat{L}, [\hat{L}, \hat{a}]]/2\dots$ .

A frame for $\mathbb{R}^n$ is a frame for $\mathbb{C}^n$

Compact operator from $H^1$ to $L^2$

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