Does there exist a self-adjoint operator whose spectrum is just the continuous spectrum?
86622
I want to find an example where the Spectrum is equal to the Continuous Spectrum in C[0,1]; $\sigma_c(A)=\sigma(A)$
1048
Discreteness of set of energy eigenvalues
23089
Differences between symmetric, Hermitian, self-adjoint, and essentially self-adjoint operators
13137
Why are Hermitian operators linked to observables?
36090
$TT^*=T^2$, show that $T$ is self-adjoint
61484
Continuously invertible operators
2439
If a linear operator has an adjoint operator, it is bounded
23115
Why is the spectrum of the $\beta$-decay continuous?
11109
The ideal generated by a non-compact operator
119671
Is there an infinite dimensional $V$ such that every linear operator on $V$ is a direct sum of a nilpotent and  an invertible operator?
17262
Bounded operator that does not attain its norm
75104
Existence of some type matrix
112900
Eigenvalue of a polynomial evaluated in a operator
87951
Normalizable wavefunction that does not vanish at infinity
119831
bounded operator $T$ is not compact then there exists an orthonormal sequence $e_n$ and $d>0$ such that $\|T(e_n)\|>d$ for all $n\in\Bbb{N}$?
15035
An operator on the other side of the Schrödinger equation
84961
weak sequential continuity of linear operators