List questions from spectral-theory

Published on 17 Apr 2020 - 23:05

209

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Spectrum of the operator $T \in \mathcal{L}(L^2(\Bbb{R}_+))$ defined by $(Tf)(x)=(1−e^{−x})f(x)$

Published on 25 Mar 2026 - 6:07

47

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$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Published on 23 Feb 2026 - 10:22

157

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Showing that: $A$ maximal monotone $\Longleftrightarrow A^*$ monotone.

Published on 27 Mar 2026 - 0:57

2k

Views

Book recommendations for spectral graph theory

Published on 26 Mar 2026 - 1:01

176

Views

Stone formula and joint spectral measures for commuting operators

Published on 25 Mar 2026 - 17:32

179

Views

Surjectivity of operator $(\lambda I-A)x$, where A is a linear operator on a Hilbert space $X$, for non-real $\lambda$

Published on 22 Apr 2020 - 19:09

55

Views

Meaning of "analytic function" in the context of Banach algebras

Published on 25 Mar 2026 - 23:52

250

Views

An orthogonal matrix in $\mathbb{R}^{3\times3}$ with real eigenvalues is diagonalizable

Published on 27 Mar 2026 - 14:10

354

Views

Find spectrum of integral operator in L2

Published on 27 Mar 2026 - 13:51

111

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Eigenvectors of a sum of PSD matrices

Published on 26 Mar 2026 - 17:36

222

Views

Continuity of resolvent

Published on 29 Apr 2020 - 10:47

987

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Proof that the spectrum in non empty.

Published on 30 Apr 2020 - 22:06

348

Views

Spectral Radius Formula

Published on 01 May 2020 - 16:03

118

Views

Nuclear spectral theorem from bilinear form

Published on 02 May 2020 - 11:43

List Question

Finding the spectrum of an integral operator $Tx(s)=\int_0^1 s(s^2+2) x(t) \ dt$

Spectrum of the operator $T \in \mathcal{L}(L^2(\Bbb{R}_+))$ defined by $(Tf)(x)=(1−e^{−x})f(x)$

$A\in BIP(X)$ and $A_{\epsilon}=A^{\epsilon}(\epsilon +A)^{-2\epsilon}$ how to proof that $A_{\epsilon}x\to x$ when $\epsilon\to 0$for all $x\in X$

Showing that: $A$ maximal monotone $\Longleftrightarrow A^*$ monotone.

Book recommendations for spectral graph theory

Stone formula and joint spectral measures for commuting operators

Surjectivity of operator $(\lambda I-A)x$, where A is a linear operator on a Hilbert space $X$, for non-real $\lambda$

Meaning of "analytic function" in the context of Banach algebras

An orthogonal matrix in $\mathbb{R}^{3\times3}$ with real eigenvalues is diagonalizable

Find spectrum of integral operator in L2

Eigenvectors of a sum of PSD matrices

Continuity of resolvent

Proof that the spectrum in non empty.

Spectral Radius Formula

Nuclear spectral theorem from bilinear form

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