English

Generalized Berezin Transform and Commutator Ideals

Operator Algebras 2007-05-23 v1 Functional Analysis

Abstract

For a quasi-free module over a function algebra A(Ω)A(\Omega), we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the commutator ideal.

Cite

@article{arxiv.math/0401442,
  title  = {Generalized Berezin Transform and Commutator Ideals},
  author = {Kenneth R. Davidson and Ronald G. Douglas},
  journal= {arXiv preprint arXiv:math/0401442},
  year   = {2007}
}

Comments

29 pages