A note on the spectral operators of scalar type and semigroups of bounded linear operators.
Markin, Marat V. (2002)
International Journal of Mathematics and Mathematical Sciences
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Markin, Marat V. (2002)
International Journal of Mathematics and Mathematical Sciences
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J. Janas (1994)
Studia Mathematica
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The paper deals mostly with spectral properties of unbounded hyponormal operators. Some nontrivial examples of such operators are given.
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.
Ralph deLaubenfels (1997)
Banach Center Publications
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Markin, Marat V. (2004)
Abstract and Applied Analysis
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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.
S. M. Bahri (2007)
Archivum Mathematicum
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The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of and then using the Stieltjes inversion formula.