Operator-Valued Ultradistributions in the Spectral Theory.
Ioana Cioranescu (1976)
Mathematische Annalen
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Ioana Cioranescu (1976)
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Sheldon Axler, Shapiro Joel H. (1985)
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C.M. Edwards (1974)
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R.G. BARTLE (1964)
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D.C. LAY (1970)
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Daniel Beltiţă (2001)
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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.
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...
John N. WELCH (1971)
Mathematische Annalen
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M.J.J. Lennon (1974)
Mathematische Annalen
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Bernhard GRAMSCH, David LAY (1971)
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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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C. Bidard, M. Zerner (1991)
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Tosio Kato (1982)
Mathematische Zeitschrift
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