On Lp Spectral Multipliers for a Solvable Lie Group.
D. Müller, M. Christ (1996)
Geometric and functional analysis
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D. Müller, M. Christ (1996)
Geometric and functional analysis
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Daniel Beltiţă (2001)
Studia Mathematica
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We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.
Meena Sahai (1995)
Publicacions Matemàtiques
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Let K be a field of characteristic p > 2 and let G be a group. Necessary and sufficient conditions are obtained so that the group algebra KG is strongly Lie solvable of derived length at most 3. It is also shown that these conditions are equivalent to KG Lie solvable of derived length 3 in characteristic p ≥ 7.
Daniel Beltiţă (1999)
Studia Mathematica
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A new concept of spectrum for a solvable Lie algebra of operators is introduced, extending the Taylor spectrum for commuting tuples. This spectrum has the projection property on any Lie subalgebra and, for algebras of compact operators, it may be computed by means of a variant of the classical Ringrose theorem.
Michael Wüstner (1996)
Manuscripta mathematica
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N.V. Pedersen (1985)
Inventiones mathematicae
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Niels Vigand Pedersen (1980)
Mathematische Annalen
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Detlev Poguntke (1992)
Mathematische Zeitschrift
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do Rocio, Osvaldo Germano, San Martin, Luiz A.B. (1995)
Journal of Lie Theory
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В.М. Гичев (1989)
Sibirskij matematiceskij zurnal
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Joanne Erdman Snow (1990)
Manuscripta mathematica
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Dietrich Burde (1998)
Manuscripta mathematica
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Alberto C. Elduque Palomo, Vicente R. Varea Agudo (1986)
Extracta Mathematicae
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A Lie algebra L is said to be minimal non supersolvable if all its subalgebras, except L itself, are supersolvable.
Helmut Strade, Rolf Farnsteiner (1988)
Mathematische Annalen
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