List questions from spectral-theory

Published on 10 Nov 2017 - 17:18

117

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Linear combination of Laplace eigenfunctions

Published on 12 Nov 2017 - 13:16

200

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Essential Spectrum of Unitary Equivalent Operators are Equal?

Published on 14 Nov 2017 - 2:50

149

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Perturbation of the numerical range by bounded operators

Published on 16 Nov 2017 - 13:48

46

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Eigenvalue of product of two singular matrices

Published on 16 Nov 2017 - 15:12

310

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projection-valued measure and bounded self-adjoint operator

Published on 17 Nov 2017 - 2:43

48

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Let $(\lambda_{n})$ be a complex bounded sequence, and, $T\in L(\ell^{1})$ a operator defined by $T(x)=(\lambda_{n}x_{n})$. Find spectrum $\sigma(T)$.

Published on 17 Nov 2017 - 22:05

267

Views

Uniqueness of the nth root of an operator on a Hilbert space

Published on 18 Nov 2017 - 23:47

92

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Removing points from the discrete spectrum of a self-adjoint operator

Published on 20 Nov 2017 - 23:21

58

Views

Do we have $|BA|=B|A|$?

Published on 05 Apr 2026 - 10:48

295

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If $P,Q\ge 0;P+Q=I$, how to prove $||P-Q||_2\le1$

Published on 22 Nov 2017 - 13:55

88

Views

Elliptic pseudodifferential operator has at most finite number of non-positive eigenvalues

Published on 25 Mar 2026 - 9:32

171

Views

Second Steklov operator and Dirichet-to-Neumann operator for a disk

Published on 26 Nov 2017 - 1:23

146

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Normal operator close in norm to projection, what about the spectrum?

Published on 27 Nov 2017 - 13:17

500

Views

$\overline{\lambda}$ in adjoint point spectrum implies $\lambda$ in residual spectrum or point spectrum

Published on 01 Dec 2017 - 7:41

List Question

Spectrum of bounded self-adjoint operator

Linear combination of Laplace eigenfunctions

Essential Spectrum of Unitary Equivalent Operators are Equal?

Perturbation of the numerical range by bounded operators

Eigenvalue of product of two singular matrices

projection-valued measure and bounded self-adjoint operator

Let $(\lambda_{n})$ be a complex bounded sequence, and, $T\in L(\ell^{1})$ a operator defined by $T(x)=(\lambda_{n}x_{n})$. Find spectrum $\sigma(T)$.

Uniqueness of the nth root of an operator on a Hilbert space

Removing points from the discrete spectrum of a self-adjoint operator

Do we have $|BA|=B|A|$?

If $P,Q\ge 0;P+Q=I$, how to prove $||P-Q||_2\le1$

Elliptic pseudodifferential operator has at most finite number of non-positive eigenvalues

Second Steklov operator and Dirichet-to-Neumann operator for a disk

Normal operator close in norm to projection, what about the spectrum?

$\overline{\lambda}$ in adjoint point spectrum implies $\lambda$ in residual spectrum or point spectrum

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