Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $E\Lambda (\Omega )$

Abstract

Is there a mod Hilbert-Schmidt analogue of the BDF-theorem, with the Pincus g-function playing the role of the index ? We show that part of the question is about the K-theory of certain Banach algebras. These Banach algebras, related to Lipschitz functions and dirichlet algebras have nice Banach space duality properties. Moreover their corona algebras are C*-algebras.

24 pages Removed "shortcut" commands in the .tex file and reverted to full LaTex readable commands

Cited by in corpus (1)

• Variations in noncommutative potential theory: finite energy states, potentials and multipliers