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 - The Taylor-Browder spectrum on prime C*-algebras.
AU - Kitson, Derek
PY - 2012/3
Y1 - 2012/3
N2 - We provide a formula for the Taylor–Browder spectrum of a pair (L a , R b ) of left and right multiplication operators acting on a prime C*-algebra with non-zero socle. We also compute ascent and descent for multiplication operators on a prime ring, characterise Browder elements in a prime C*-algebra and discuss upper semicontinuity for the Browder spectrum.
AB - We provide a formula for the Taylor–Browder spectrum of a pair (L a , R b ) of left and right multiplication operators acting on a prime C*-algebra with non-zero socle. We also compute ascent and descent for multiplication operators on a prime ring, characterise Browder elements in a prime C*-algebra and discuss upper semicontinuity for the Browder spectrum.
KW - Browder spectrum
KW - Taylor spectrum
KW - Browder elements
KW - multiplication operators
KW - ascent and descent – prime C-algebra
KW - prime C
KW - algebra
U2 - 10.1007/s00020-012-1943-2
DO - 10.1007/s00020-012-1943-2
M3 - Journal article
VL - 72
SP - 403
EP - 418
JO - Integral Equations and Operator Theory
JF - Integral Equations and Operator Theory
SN - 1420-8989
IS - 3
ER -