List questions from spectral-theory

Published on 03 Dec 2017 - 17:28

461

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Estimate of exponential of a normal Operator

Published on 04 Dec 2017 - 11:42

74

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Property (T) In Terms of the Spectrum of a Self-Adjoint Contraction

Published on 04 Dec 2017 - 18:21

401

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$T$ selfadjoint with nonnegative spectrum implies $T=S^2$ for some selfadjoint $S$

Published on 05 Dec 2017 - 4:47

2.3k

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$T$ compact operator implies that every weakly convergent sequence $x_n$ implies strong convergence of $Tx_n$

Published on 05 Dec 2017 - 4:56

90

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About the definition of an oscillatory differential equation and Hill's equation

Published on 03 Apr 2026 - 1:54

79

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Does the spectral projector have always good properties.

Published on 07 Dec 2017 - 12:03

35

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Writing direct sum of a normed space as $X=\mathcal{N}(T_{\lambda}^{r})\bigoplus T_{\lambda}^{r} (X)$

Published on 30 Mar 2026 - 5:31

2.8k

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Spectrum of a multiplication operator in L^2

Published on 08 Dec 2017 - 17:41

65

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$ \sigma(T)$ for operator $T:l_2 \to l_2$

Published on 12 Dec 2017 - 0:30

65

Views

Solution in $L^{\infty}\setminus L^2$ of the eigenvalue equation $\Delta f + V f = \lambda f$ implies $\lambda$ is in the continuous spectrum

Published on 30 Mar 2026 - 3:55

45

Views

A question about spectrum of an operator and point spectrum.

Published on 13 Dec 2017 - 8:18

82

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Norm of the Resolvent when an equality holds?

Published on 13 Dec 2017 - 20:10

499

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Show that there exists a linear transformation $S\colon V \to V$ such that $S^2 = T$

Published on 30 Mar 2026 - 5:29

25

Views

Understanding $E(\sigma)X$

Published on 14 Dec 2017 - 8:54

List Question

Resolution of the Identity and Complex Measure

Estimate of exponential of a normal Operator

Property (T) In Terms of the Spectrum of a Self-Adjoint Contraction

$T$ selfadjoint with nonnegative spectrum implies $T=S^2$ for some selfadjoint $S$

$T$ compact operator implies that every weakly convergent sequence $x_n$ implies strong convergence of $Tx_n$

About the definition of an oscillatory differential equation and Hill's equation

Does the spectral projector have always good properties.

Writing direct sum of a normed space as $X=\mathcal{N}(T_{\lambda}^{r})\bigoplus T_{\lambda}^{r} (X)$

Spectrum of a multiplication operator in L^2

$ \sigma(T)$ for operator $T:l_2 \to l_2$

Solution in $L^{\infty}\setminus L^2$ of the eigenvalue equation $\Delta f + V f = \lambda f$ implies $\lambda$ is in the continuous spectrum

A question about spectrum of an operator and point spectrum.

Norm of the Resolvent when an equality holds?

Show that there exists a linear transformation $S\colon V \to V$ such that $S^2 = T$

Understanding $E(\sigma)X$

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