A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
SOME APPLICATIONS OF ALMOST ANALYTIC EXTENSIONS TO OPERATOR BOUNDS IN TRACE IDEALS

2015
*
Methods of Functional Analysis and Topology
*
unpublished

Using the Davies-Helffer-Sjöstrand functional calculus based on almost analytic extensions, we address the following problem: Given a self-adjoint operator S in H, and functions f in an appropriate class, for instance, f ∈ C ∞ 0 (R), how to control the norm f (S) B(H) in terms of the norm of the resolvent of S , (S − z 0 I H) −1 B(H) , for some z 0 ∈ C\R. We are particularly interested in the case where B(H) is replaced by a trace ideal, B p (H), p ∈ [1, ∞).

fatcat:a27levl5jvcdvimnuraunbbi2y