Automorphisms of differential groups
A. Zajtz (1972)
Colloquium Mathematicae
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A. Zajtz (1972)
Colloquium Mathematicae
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Hidalgo, Rubén A. (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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David Sherman (2009)
Studia Mathematica
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In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II₁ factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is ℵ₀-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a separable nuclear C*-algebra into an ultrapower of a II₁ factor, equality of the induced traces...
Giovanni Cutolo (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Marek Karaś (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let d₃ ≥ p₂ > p₁ ≥ 3 be integers such that p₁,p₂ are prime numbers. We show that the sequence (p₁,p₂,d₃) is the multidegree of some tame automorphism of ℂ³ if and only if d₃ ∈ p₁ℕ + p₂ℕ, i.e. if and only if d₃ is a linear combination of p₁ and p₂ with coefficients in ℕ.
F. S. Cater, A. B. Thaheem (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Federico Menegazzo, Derek J. S. Robinson (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Jérémie Rostand (2003)
Studia Mathematica
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Let Ω be the spectral unit ball of Mₙ(ℂ), that is, the set of n × n matrices with spectral radius less than 1. We are interested in classifying the automorphisms of Ω. We know that it is enough to consider the normalized automorphisms of Ω, that is, the automorphisms F satisfying F(0) = 0 and F'(0) = I, where I is the identity map on Mₙ(ℂ). The known normalized automorphisms are conjugations. Is every normalized automorphism a conjugation? We show that locally, in a neighborhood of a...
S.A. Huq (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Izabela Malinowska (1994)
Rendiconti del Seminario Matematico della Università di Padova
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William F. Keigher, V. Ravi Srinivasan (2011)
Banach Center Publications
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In this article, we study solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the solutions. Moreover, we give explicit formulas that compute the group of differential automorphisms. We require neither that the underlying field be algebraically closed nor that the characteristic of the field be zero.
Gérard Endimioni (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Fleury, Odile (1997)
Beiträge zur Algebra und Geometrie
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Federico Menegazzo (1993)
Rendiconti del Seminario Matematico della Università di Padova
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