TY - THES
T1 - Local spectral methods in the theory of Banach function algebras
A1 - Athar,Tazeen
Y1 - 2010/12/27
N2 - A variant of DomarÂ's theorem on the existence of a largest subharmonic minorant of a given function is introduced. This theorem is used to obtain criteria for decomposability properties of operators with "thin" spectra satisfying certain growth conditions for the resolvent. Main aim of the thesis is to provide sufficient conditions under which Banach function algebras of Dales-Davie type admit partitions of unity or are even regular.
KW - Algebra
KW - Banach-Algebra
KW - Funktion
KW - Domar-Modell
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2010/3432
ER -