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Journal of Operator Theory

Volume 35, Issue 1, Winter 1996  pp. 3-37.

Local spectral properties of certain matrix differential operators in Lp(\mathbbRN)m

Authors: E. Albrecht 1 and W.J. Ricker 2
Author institution:1 Fachbereich Mathematik, Universität des Saarlandes, D-66041 Saarbrücken, GERMANY
2 School of Mathematics, University of New South Wales, Sydney, NSW, 2052, AUSTRALIA


Summary: We investigate the local spectral behaviour of constantcoefficient matrix differential operators, and more general matrix p-multiplier operators, in L^p-spaces particularly,over$RN$. Of particular interest is the decomposability and spectral mapping properties of such operators, together with relevant functional calculi, when they are available.

Keywords: L^p-spaces, matrix p-multipliers, decomposability, functional calculi.


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