On \mu-scale invariant operators
Mathematical Physics
2007-05-23 v1 math.MP
Spectral Theory
Abstract
We introduce the concept of a \mu-scale invariant operator with respect to unitary transformation in a separable complex Hilbert space. We show that if a nonnegative densely defined symmetric operator is \mu-scale invariant for some \mu >0, then both the Friedrichs and the Krein-von Neumann extensions are also \mu-scale invariant.
Cite
@article{arxiv.math-ph/0701060,
title = {On \mu-scale invariant operators},
author = {K. A. Makarov and E. Tsekanovskii},
journal= {arXiv preprint arXiv:math-ph/0701060},
year = {2007}
}