Generalizing normality for operators on Banach spaces: Hyponormality. I.
Vasile I. Istratescu (1983)
Collectanea Mathematica
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Vasile I. Istratescu (1983)
Collectanea Mathematica
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Michal Zajac (1978)
Mathematica Slovaca
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Rajendra Bhatia, Driss Drissi (1999)
Studia Mathematica
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Two well-known theorems for Hermitian elements in C*-algebras are extended to Banach algebras. The first concerns the solution of the equation ax - xb = y, and the second gives sharp bounds for the distance between spectra of a and b when a, b are Hermitian.
T. Gillespie (1997)
Banach Center Publications
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This paper gives a survey of some recent developments in the spectral theory of linear operators on Banach spaces in which the Hilbert transform and its abstract analogues play a fundamental role.
Earl Berkson, Ahmed Sourour (1974)
Studia Mathematica
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B. Aupetit, D. Drissi (1994)
Studia Mathematica
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In 1971, Allan Sinclair proved that for a hermitian element h of a Banach algebra and λ complex we have ∥λ + h∥ = r(λ + h), where r denotes the spectral radius. Using Levin's subordination theory for entire functions of exponential type, we extend this result locally to a much larger class of generalized spectral operators. This fundamental result improves many earlier results due to Gelfand, Hille, Colojoară-Foiaş, Vidav, Dowson, Dowson-Gillespie-Spain, Crabb-Spain, I. & V. Istrăţescu,...
Peter Greim, Eberhard Behrends (1980)
Mathematische Zeitschrift
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A. Torgasev (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Richard J. Fleming, James E. Jamison (1980)
Mathematische Zeitschrift
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