Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - On Browder tuples
AU - Harte, Robin E.
AU - Kitson, Derek
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
M3 - Journal article
VL - 75
SP - 665
EP - 677
JO - Acta Scientiarum Mathematicarum
JF - Acta Scientiarum Mathematicarum
IS - 3-4
ER -