Systems of finite rank
Sébastien Ferenczi (1997)
Colloquium Mathematicae
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Sébastien Ferenczi (1997)
Colloquium Mathematicae
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Bernard Aupetit, H. Mouton (1996)
Studia Mathematica
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We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.
G. Goodson, M. Lemańczyk (1990)
Studia Mathematica
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Hyeonbae Kang (1991)
Studia Mathematica
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Jeremy Lovejoy, Robert Osburn (2010)
Acta Arithmetica
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A. Lachlan (1974)
Fundamenta Mathematicae
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A. Lachlan (1980)
Fundamenta Mathematicae
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Nakazi, Takahiko, Osawa, Tomoko (2001)
International Journal of Mathematics and Mathematical Sciences
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Sébastien Ferenczi, Jan Kwiatkowski (1992)
Studia Mathematica
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For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.