List questions from spectral-theory

Published on 01 Apr 2026 - 5:42

39

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Uniform stability of an operator

Published on 10 Apr 2026 - 6:44

30

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Let $\rho:C(X)\to B(H)$ is a representation where $X$ is compact, $T_2$. $\rho$ is injective iff $E(G)\ne0$ for all open $G$

Published on 09 Oct 2022 - 18:52

128

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Precise assumption in spectral theorem of unbounded operators

Published on 10 Apr 2026 - 13:20

35

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Punctured neighborhood theorem

Published on 11 Apr 2026 - 19:18

44

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Relating different definitions of spectra

Published on 10 Apr 2026 - 5:04

49

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Showing that the operator $T=\sum_{n\in J}f(n)P_n$ is bounded and finding its spectrum in a Hilbert space $H=\bigoplus_{n\in J}H_n,P_n$ projection map

Published on 14 Oct 2022 - 19:28

90

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Resources for learning Spectral theory?

Published on 12 Apr 2026 - 8:53

46

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accumulation point of a bounded linear operator

Published on 09 Apr 2026 - 22:40

58

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Closed densely defined operators affiliated with a von Neumann algebra $M$

Published on 01 Apr 2026 - 5:24

164

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Uniqueness spectral decomposition unbounded self-adjoint operator

Published on 10 Apr 2026 - 7:58

272

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Prove a symmetric operator $A$ is not self-adjoint has no self-adjoint extension

Published on 11 Apr 2026 - 20:23

149

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Is the limit of approximate eigenvectors an eigenvector?

Published on 12 Apr 2026 - 7:01

64

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analytic continuation of the spectral zeta function

Published on 10 Apr 2026 - 13:28

45

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Spectral theorem (multiplication operator form) for tensor products

Published on 27 Mar 2026 - 14:50

List Question

Hilbert-Schmidt Operators on Banach spaces

Uniform stability of an operator

Let $\rho:C(X)\to B(H)$ is a representation where $X$ is compact, $T_2$. $\rho$ is injective iff $E(G)\ne0$ for all open $G$

Precise assumption in spectral theorem of unbounded operators

Punctured neighborhood theorem

Relating different definitions of spectra

Showing that the operator $T=\sum_{n\in J}f(n)P_n$ is bounded and finding its spectrum in a Hilbert space $H=\bigoplus_{n\in J}H_n,P_n$ projection map

Resources for learning Spectral theory?

accumulation point of a bounded linear operator

Closed densely defined operators affiliated with a von Neumann algebra $M$

Uniqueness spectral decomposition unbounded self-adjoint operator

Prove a symmetric operator $A$ is not self-adjoint has no self-adjoint extension

Is the limit of approximate eigenvectors an eigenvector?

analytic continuation of the spectral zeta function

Spectral theorem (multiplication operator form) for tensor products

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