A spectral approach to the Kaplansky problem
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Irene Rousseau (2001)
Visual Mathematics
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Echi, Othman, Gargouri, Riyadh (2004)
The New York Journal of Mathematics [electronic only]
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Constantin Costara (2005)
Studia Mathematica
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We give several characterizations of the symmetrized n-disc Gₙ which generalize to the case n ≥ 3 the characterizations of the symmetrized bidisc that were used in order to solve the two-point spectral Nevanlinna-Pick problem in ℳ ₂(ℂ). Using these characterizations of the symmetrized n-disc, which give necessary and sufficient conditions for an element to belong to Gₙ, we obtain necessary conditions of interpolation for the general spectral Nevanlinna-Pick problem. They also allow us...
K. Parthasarathy, R. Prakash (2007)
Colloquium Mathematicae
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In this note we define and explore, à la Godement, spectral subspaces of Banach space representations of the Fourier-Eymard algebra of a (nonabelian) locally compact group.
Makagon, A., Salehi, H. (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Tosio Kato (1982)
Mathematische Zeitschrift
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Belaid, Karim, Echi, Othman, Gargouri, Riyadh (2005)
International Journal of Mathematics and Mathematical Sciences
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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.
Ernie Croot, Tomasz Schoen (2009)
Acta Arithmetica
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