List questions from spectral-theory

Published on 25 Mar 2026 - 19:05

140

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Characterization of Linear Operators by Spectrum

Published on 09 Jul 2020 - 21:00

96

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Let $X= L^2([0,1],\#) $ ( where $\#$ is the measure that counts) $ g\in L^\infty([0,1],\#)$ $A(f)(x)=f(x)g(x)$. Calculate spectrum, eigen values..

Published on 10 Jul 2020 - 9:33

90

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Trouble proving outer regularity of measure in proof of the multiplication version of the spectral theorem in Dunford & Schwartz

Published on 12 Jul 2020 - 3:11

329

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Defining a family of self-adjoint operators via a bilinear form

Published on 12 Jul 2020 - 8:24

267

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Eigenvalue of block matrix with different size block

Published on 26 Mar 2026 - 1:00

50

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Looking for counterexample to outer regularity of the measure in Dunford & Schwartz X.5.4.

Published on 14 Jul 2020 - 3:38

109

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1 question in Theorem 10 of section Spectral Theory of Hoffman Kunze

Published on 18 Jul 2020 - 7:01

163

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The relation between the spectral theorem and unitary diagonalization

Published on 25 Mar 2026 - 17:36

231

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Proof of (8.50) in the book Advanced Functional Analysis

Published on 18 Jul 2020 - 22:22

3k

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Intuition on spectral theorem

Published on 19 Jul 2020 - 14:22

53

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Show $\sigma(x) \in \{0,1\}$ if $x \in \{0,1\}$

Published on 20 Jul 2020 - 13:06

139

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Convergence of $e^{itH}$ as a sum for $H$ and unbounded operator

Published on 29 Mar 2026 - 13:27

122

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Why is the spectrum of a shift operator the closed unit disk?

Published on 23 Jul 2020 - 12:35

94

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prove the spectral theorem for commutative operators with guidance

Published on 23 Jul 2020 - 17:42

List Question

If $0 \in \sigma(N)$ and $A = NN^\ast$, then $0 \in \sigma(A)$.

Characterization of Linear Operators by Spectrum

Let $X= L^2([0,1],\#) $ ( where $\#$ is the measure that counts) $ g\in L^\infty([0,1],\#)$ $A(f)(x)=f(x)g(x)$. Calculate spectrum, eigen values..

Trouble proving outer regularity of measure in proof of the multiplication version of the spectral theorem in Dunford & Schwartz

Defining a family of self-adjoint operators via a bilinear form

Eigenvalue of block matrix with different size block

Looking for counterexample to outer regularity of the measure in Dunford & Schwartz X.5.4.

1 question in Theorem 10 of section Spectral Theory of Hoffman Kunze

The relation between the spectral theorem and unitary diagonalization

Proof of (8.50) in the book Advanced Functional Analysis

Intuition on spectral theorem

Show $\sigma(x) \in \{0,1\}$ if $x \in \{0,1\}$

Convergence of $e^{itH}$ as a sum for $H$ and unbounded operator

Why is the spectrum of a shift operator the closed unit disk?

prove the spectral theorem for commutative operators with guidance

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