On the sum between a closable operator $T$ and a $T$-bounded operator
Functional Analysis
2014-09-22 v1
Abstract
We provide several perturbation theorems regarding closable operators on a real or complex Hilbert space. In particular we extend some classical results due to Hess--Kato, Kato--Rellich and W\"ust. Our approach involves ranges of matrix operators of the form .
Cite
@article{arxiv.1409.5711,
title = {On the sum between a closable operator $T$ and a $T$-bounded operator},
author = {Dan Popovici and Zoltán Sebestyén and Zsigmond Tarcsay},
journal= {arXiv preprint arXiv:1409.5711},
year = {2014}
}