Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $EΛ(Ω)$

Details Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $EΛ(Ω)$ Almost normal operators mod Hilbert-Schmidt and the K-theory of the Banach algebras $EΛ(Ω)$

2011-12-21

arxiv.org/abs/1112.4930v2

Mathematics

Operator Algebras

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

Scientific paper

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.

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