List questions from self-adjoint-operators

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Is this Sturm-Liouville problem self-adjoint?

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Some questions about the spectral composition of a nonnegative self-adjoint operator

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Polar decomposition for closed operators

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What is the usual definition of the spectral measure for a nonnegative self-adjoint operator on a Hilbert space?

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Lagrange multiplier term in Hamiltonian

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683

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Are Hermitian operators positive?

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Proof of strong limit $\displaystyle s-\lim_{\varepsilon \to 0} (I+i\varepsilon A)^{-1}=I$

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If $A$ and $B$ are commuting Hermitian matrices, then they have the same eigenvectors?

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Non-negative definite self adjoint operator

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Orthonormal basis of eigenvectors of a self-adjoint operator

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Under what conditions the operator $-\sum \partial_{x_i} a_{ij} \partial_{x_j}$ is self-adjoint?

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Why the space have to be complex in the spectral theorem for bounded self-adjoint operators?

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Inverse of (i*I+A) for self adjoint operator

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Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

Published on 25 Mar 2026 - 7:46

List Question

self-adjoint operators $T,P$ and their kernel

Is this Sturm-Liouville problem self-adjoint?

Some questions about the spectral composition of a nonnegative self-adjoint operator

Polar decomposition for closed operators

What is the usual definition of the spectral measure for a nonnegative self-adjoint operator on a Hilbert space?

Lagrange multiplier term in Hamiltonian

Are Hermitian operators positive?

Proof of strong limit $\displaystyle s-\lim_{\varepsilon \to 0} (I+i\varepsilon A)^{-1}=I$

If $A$ and $B$ are commuting Hermitian matrices, then they have the same eigenvectors?

Non-negative definite self adjoint operator

Orthonormal basis of eigenvectors of a self-adjoint operator

Under what conditions the operator $-\sum \partial_{x_i} a_{ij} \partial_{x_j}$ is self-adjoint?

Why the space have to be complex in the spectral theorem for bounded self-adjoint operators?

Inverse of (i*I+A) for self adjoint operator

Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

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