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On Browder tuples

Research output: Contribution to journalJournal article

Published

Journal publication date2009
JournalActa Scientiarum Mathematicarum (Szeged)
Journal number3-4
Volume75
Number of pages13
Pages665-677
Original languageEnglish

Abstract

In this article we extend the notions of a quasipolar, polar and Browder element in a normed algebra to a multivariable setting. A decomposition result is established for Browder tuples of bounded operators and characterisations in terms of ascent and descent are provided for some special cases. Finally we show that a multivariable spectral mapping theorem holds for a large class of Browder joint spectra.