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To appear in Math. Annalen On continuous Peirce decompositions, Schur multipliers
 

Summary: To appear in Math. Annalen
On continuous Peirce decompositions, Schur multipliers
and the perturbation of triple functional calculus
Jonathan Arazy 1
Department of Mathematics
University of Haifa
Haifa 31905
Israel
jarazy@mathcs2.haifa.ac.il
Wilhelm Kaup 1
Mathematisches Institut
Universitšat Tšubingen
Auf der Morgenstelle 10
D­72076 Tšubingen
Germany
kaup@uni­tuebingen.de
1. Introduction
We illustrate our results with a simple matrix example: Let E: = C n\Thetan be the algebra of all
complex n \Theta n­matrices z = (z jk ) and denote by H ae E the IR­linear subspace of all hermitian
matrices z (i.e. satisfying z jk = z kj for all j; k). Then E = H \Phi iH and every diagonal matrix

  

Source: Arazy, Jonathan - Department of Mathematics, University of Haifa

 

Collections: Mathematics