Can I read Non-negative Perturbations of Non-negative Self-adjoint Operators on EtoBox?

Non-negative Perturbations of Non-negative Self-adjoint Operators by Adamyan, Vadym is a scholarly article available to read on EtoBox.

What is Non-negative Perturbations of Non-negative Self-adjoint Operators about?

Let $A$ be a non-negative self-adjoint operator in a Hilbert space $\mathcal{H}$ and $A_{0}$ be some densely defined closed restriction of $A_{0}$, $A_{0}\subseteq A \neq A_{0}$. It is of interest to know whether $A$ is the unique non-negative self-adjoint extensions of $A_{0}$ in $\mathcal{H}$. We give a natural criterion that this is the case and if it fails, we describe all non-negative extensions of $A_{0}$. The obtained results are applied to investigation of non-negative singular point perturbations of the Laplace and poly-harmonic operators in $\mathbb{L}_{2}(\mathbf{R}_{n})$.

Author

Adamyan, Vadym

Published

2007

Language

EN