On weakly D-differentiable operators
Functional Analysis
2015-03-12 v4 Mathematical Physics
math.MP
Operator Algebras
Quantum Algebra
Abstract
For an unbounded self-adjoint operator D on a Hilbert space H and a bounded operator a on H we say that a is weakly D-differentiable if for any pair of vectors x, y in H the function <exp(itD) a exp(-itD)x, y> is differentiable at t =0. We find several conditions which are all equivalent to weak D-differentiability.
Cite
@article{arxiv.1303.7426,
title = {On weakly D-differentiable operators},
author = {Erik Christensen},
journal= {arXiv preprint arXiv:1303.7426},
year = {2015}
}
Comments
Version 4: To appear in Expo. Math