TY - GEN
T1 - Samuel multiplicity for several commuting operators
A1 - Eschmeier,Jörg
Y1 - 2012/03/09
N2 - It is shown that the Samuel multiplicity of a lower semi-Fredholm tuple T\in L(X)^{n} of commuting bounded operators on a complex Banach space X coincides with the generic dimension of the last cohomolgoy groups H^{n}(z-T,X) of its Koszul complex near z=0. As applications we show that the algebraic and analytic Samuel multiplicities of T coincide and that the Samuel multiplicity is additive for closed invariant subspaces of the symmetric Fock space.
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2012/4638
ER -