Kato's Square Root Problem

摘要

The authors' purpose in this not is to solve the Kato problem for an abstract211u001eclass of second-order operators under a mild regulatory condition on the 211u001eprincipal coefficients. In particular the authors extend the result of McIntosh 211u001e(Mc12) by quite different arguments which rely on intepolation theory. Indeed the 211u001eauthors draw analogous conclusions to McIntosh for operators associated with an 211u001earbitrary unitary representation of a Lie group.