List questions from spectral-radius

Published on 03 Dec 2014 - 19:47

235

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Is possible to show that the linear operator $T(\varphi)(x) = \int_{V_x\cap M} \varphi(y)\text{d}y$ has spectral radius $>0$.

Published on 05 Oct 2019 - 14:57

315

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Proof for a bound $\epsilon > m$ such that $A^TXA \preceq \epsilon X$, where $X \succ 0$.

Published on 06 Mar 2026 - 3:43

222

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the upper semi-continuousity of the spectrum

Published on 09 Mar 2026 - 19:58

62

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spectrum of some operators

Published on 19 Oct 2019 - 3:00

52

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Intersection over all numerical ranges (fields of values) over all scalar products equals convex hull of spectrum?

Published on 26 Oct 2019 - 23:50

459

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Eigenvalues of a tridiagonal Toeplitz Matrix and its spectral radius

Published on 02 Nov 2019 - 6:26

82

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Right inverse with minimal spectral radius

Published on 08 Nov 2019 - 10:33

248

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Find Coordinates on circles circumference.

Published on 11 Nov 2019 - 17:46

496

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If $A$ is self-adjoint, then $\left\|A\right\|=\sup_{x\in H\setminus\{0\}}\frac{\langle Ax,x\rangle}{\left\|x\right\|^2}$

Published on 11 Nov 2019 - 20:13

41

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Why does the spectral radius satisfy $r(A^{2})=r(A)^{2}$?

Published on 17 Nov 2019 - 10:02

353

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spectrum of elements in $C^*$ algebra

Published on 20 Nov 2019 - 17:28

130

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Bound on spectral radius

Published on 20 Nov 2019 - 21:10

21

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How to estimate the spectrum of $SN$ if $N$ is a nuclear operator and $S$ is a self-adjoint operator with bounded inverse.

Published on 23 Nov 2019 - 10:55

66

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spectral radius of $G = M^{−1}N$ approximately satisfies $\rho(G) \approx \frac{||x_{k+1}-x_{k}||}{||x_{k}-x_{k-1}||}$

Published on 25 Nov 2019 - 13:28

List Question

Is it true that $\sigma(AB) =\sigma(BA) $.

Is possible to show that the linear operator $T(\varphi)(x) = \int_{V_x\cap M} \varphi(y)\text{d}y$ has spectral radius $>0$.

Proof for a bound $\epsilon > m$ such that $A^TXA \preceq \epsilon X$, where $X \succ 0$.

the upper semi-continuousity of the spectrum

spectrum of some operators

Intersection over all numerical ranges (fields of values) over all scalar products equals convex hull of spectrum?

Eigenvalues of a tridiagonal Toeplitz Matrix and its spectral radius

Right inverse with minimal spectral radius

Find Coordinates on circles circumference.

If $A$ is self-adjoint, then $\left\|A\right\|=\sup_{x\in H\setminus\{0\}}\frac{\langle Ax,x\rangle}{\left\|x\right\|^2}$

Why does the spectral radius satisfy $r(A^{2})=r(A)^{2}$?

spectrum of elements in $C^*$ algebra

Bound on spectral radius

How to estimate the spectrum of $SN$ if $N$ is a nuclear operator and $S$ is a self-adjoint operator with bounded inverse.

spectral radius of $G = M^{−1}N$ approximately satisfies $\rho(G) \approx \frac{||x_{k+1}-x_{k}||}{||x_{k}-x_{k-1}||}$

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