Spectral invariance for pseudodifferential operators on weighted function spaces.
Hans Triebel, Hans-Gerd Leopold (1994)
Manuscripta mathematica
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Hans Triebel, Hans-Gerd Leopold (1994)
Manuscripta mathematica
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C. Benhida, E. H. Zerouali (2007)
Banach Center Publications
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Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.
P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Ciprian Foiaş, Florian-Horia Vasilescu (1974)
Czechoslovak Mathematical Journal
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Vladimír Müller (1988)
Czechoslovak Mathematical Journal
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Ştefan Frunză (1977)
Czechoslovak Mathematical Journal
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Irene Rousseau (2001)
Visual Mathematics
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Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel (2013)
Studia Mathematica
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An absolute continuity approach to quasinormality which relates the operator in question to the spectral measure of its modulus is developed. Algebraic characterizations of some classes of operators that emerge in this context are found. Various examples and counterexamples illustrating the concepts of the paper are constructed by using weighted shifts on directed trees. Generalizations of these results that cover the case of q-quasinormal operators are established.
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.
M. T. Karaev (2006)
Colloquium Mathematicae
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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