List questions from operator-theory

Published on 26 Mar 2026 - 19:05

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Existence of Polynomial P such that P(A)=0

Published on 26 Mar 2026 - 19:00

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The spectrum of the Volterra operator is $\{0\}$

Published on 11 Apr 2026 - 4:48

71

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compact operators are quasitriangular

Published on 10 Apr 2026 - 23:32

104

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comparision of two rank one operators

Published on 30 Mar 2026 - 8:09

41

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$\omega(A)=\|A\|\Longleftrightarrow C_A\cap \overline{W(A)}\neq \varnothing $?

Published on 20 Nov 2019 - 15:03

58

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Smallest eigenvalue of sum of two unbounded operators

Published on 26 Mar 2026 - 6:34

355

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spectrum of elements in $C^*$ algebra

Published on 11 Apr 2026 - 2:01

100

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Upper and Lower bounds on Normal Operator Norm

Published on 25 Mar 2026 - 19:01

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What allows us to use the Heaviside operator like a variable?

Published on 21 Nov 2019 - 11:41

140

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How to prove this for the spectrum of a self-adjoint operator?

Published on 09 Apr 2026 - 20:15

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Polar decomposition has unitary operator implies kernel of adjoint is trivial.

Published on 29 Mar 2026 - 4:02

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Find $\operatorname{ind}T$ where $T=\frac{d^2}{dx^2}$

Published on 05 Apr 2026 - 23:02

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How to Find the Spectrum of an Integral Operator

Published on 27 Mar 2026 - 14:57

175

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Is this a compact operator?

Published on 26 Mar 2026 - 19:04

List Question

Examples of continuous nonlinear operators in PDE

Existence of Polynomial P such that P(A)=0

The spectrum of the Volterra operator is $\{0\}$

compact operators are quasitriangular

comparision of two rank one operators

$\omega(A)=\|A\|\Longleftrightarrow C_A\cap \overline{W(A)}\neq \varnothing $?

Smallest eigenvalue of sum of two unbounded operators

spectrum of elements in $C^*$ algebra

Upper and Lower bounds on Normal Operator Norm

What allows us to use the Heaviside operator like a variable?

How to prove this for the spectrum of a self-adjoint operator?

Polar decomposition has unitary operator implies kernel of adjoint is trivial.

Find $\operatorname{ind}T$ where $T=\frac{d^2}{dx^2}$

How to Find the Spectrum of an Integral Operator

Is this a compact operator?

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