Please use this identifier to cite or link to this item:
doi:10.22028/D291-26334
Title: | Samuel multiplicity for several commuting operators |
Author(s): | Eschmeier, Jörg |
Language: | English |
Year of Publication: | 2006 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | 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. |
Link to this record: | urn:nbn:de:bsz:291-scidok-46387 hdl:20.500.11880/26390 http://dx.doi.org/10.22028/D291-26334 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 171 |
Date of registration: | 9-Mar-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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File | Description | Size | Format | |
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preprint_171_06.pdf | 179,09 kB | Adobe PDF | View/Open |
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