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The Taylor-Browder spectrum on prime C*-algebras.

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The Taylor-Browder spectrum on prime C*-algebras. / Kitson, Derek.
In: Integral Equations and Operator Theory, Vol. 72, No. 3, 03.2012, p. 403-418.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Kitson, D 2012, 'The Taylor-Browder spectrum on prime C*-algebras.', Integral Equations and Operator Theory, vol. 72, no. 3, pp. 403-418. https://doi.org/10.1007/s00020-012-1943-2

APA

Vancouver

Kitson D. The Taylor-Browder spectrum on prime C*-algebras. Integral Equations and Operator Theory. 2012 Mar;72(3):403-418. doi: 10.1007/s00020-012-1943-2

Author

Kitson, Derek. / The Taylor-Browder spectrum on prime C*-algebras. In: Integral Equations and Operator Theory. 2012 ; Vol. 72, No. 3. pp. 403-418.

Bibtex

@article{a21a4a3cb42448a2904561b7ac46058d,
title = "The Taylor-Browder spectrum on prime C*-algebras.",
abstract = "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.",
keywords = "Browder spectrum , Taylor spectrum , Browder elements , multiplication operators , ascent and descent – prime C*-algebra, prime C*, algebra",
author = "Derek Kitson",
year = "2012",
month = mar,
doi = "10.1007/s00020-012-1943-2",
language = "English",
volume = "72",
pages = "403--418",
journal = "Integral Equations and Operator Theory",
issn = "1420-8989",
publisher = "Birkhauser Verlag Basel",
number = "3",

}

RIS

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 -