List questions from spectral-theory

Published on 01 Apr 2026 - 14:48

48

Views

Spectral theorem for completely continuous operators in a Hilbert space

Published on 31 Mar 2026 - 3:19

249

Views

Spectrum of weighted right shift operator on $\ell^{\infty}(\mathbb N)$ - solution verification

Published on 15 Jan 2021 - 16:04

184

Views

Reasons for $\lambda \mathbb{I} - T$ to be non-invertible.

Published on 16 Jan 2021 - 21:07

214

Views

$T(x_1,x_2,x_3,x_4,\ldots)=\left(x_2,\frac{x_3}{2},\frac{x_4}{3},\frac{x_5}{4},\ldots\right)$, spectral radius and spectrum

Published on 26 Mar 2026 - 21:13

34

Views

Propriety of a spectral family on a Hilbert space

Published on 17 Jan 2021 - 21:20

127

Views

Compact hermitian operator and eigenvalues

Published on 31 Mar 2026 - 11:25

96

Views

Eigenvalues and (Singleton)-Borel Functional Calculus

Published on 18 Jan 2021 - 12:41

108

Views

Multiplication Operator on $L^2[(0,1])$

Published on 19 Jan 2021 - 0:55

143

Views

Unique Bounded Operator $A \in B(H)$ as a Unilateral Weighted Shift Operator

Published on 08 Apr 2026 - 7:12

74

Views

Spectrum of operator $Ax(t)=x(-t)$ on $L_1(-1,1)$

Published on 22 Jan 2021 - 14:44

436

Views

norm of the resolvent inequality

Published on 01 Apr 2026 - 2:48

101

Views

If we have $T^2 = S^2$ then $T=S$

Published on 26 Jan 2021 - 16:01

123

Views

Extending the Spectral Theorem of Unbounded Self-Adjoint Operators on Infinite-Dimensional Hilbert Spaces

Published on 31 Mar 2026 - 4:57

115

Views

Spectral radius of a matrix in a Banach algebra

Published on 26 Mar 2026 - 22:57

List Question

Lifting Laplacian Eigenfunctions

Spectral theorem for completely continuous operators in a Hilbert space

Spectrum of weighted right shift operator on $\ell^{\infty}(\mathbb N)$ - solution verification

Reasons for $\lambda \mathbb{I} - T$ to be non-invertible.

$T(x_1,x_2,x_3,x_4,\ldots)=\left(x_2,\frac{x_3}{2},\frac{x_4}{3},\frac{x_5}{4},\ldots\right)$, spectral radius and spectrum

Propriety of a spectral family on a Hilbert space

Compact hermitian operator and eigenvalues

Eigenvalues and (Singleton)-Borel Functional Calculus

Multiplication Operator on $L^2[(0,1])$

Unique Bounded Operator $A \in B(H)$ as a Unilateral Weighted Shift Operator

Spectrum of operator $Ax(t)=x(-t)$ on $L_1(-1,1)$

norm of the resolvent inequality

If we have $T^2 = S^2$ then $T=S$

Extending the Spectral Theorem of Unbounded Self-Adjoint Operators on Infinite-Dimensional Hilbert Spaces

Spectral radius of a matrix in a Banach algebra

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