The hermitian operators on some Banach spaces
Earl Berkson, Ahmed Sourour (1974)
Studia Mathematica
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Earl Berkson, Ahmed Sourour (1974)
Studia Mathematica
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Richard J. Fleming, James E. Jamison (1980)
Mathematische Zeitschrift
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Peter Greim, Eberhard Behrends (1980)
Mathematische Zeitschrift
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Vasile I. Istratescu (1983)
Collectanea Mathematica
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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.
Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Michal Zajac (1978)
Mathematica Slovaca
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Gajath Gunatillake (2017)
Concrete Operators
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Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f ⃘ φ is a composition operator. We show that for any Ω, analytic self maps that induce bounded Hermitian composition operators are of the form Φ(w) = aw + b where a is a real number. For ceratin Ω, we completely describe values of a and b that induce bounded Hermitian composition operators.
A. Ferrández, V. Miquel (1989)
Mathematica Scandinavica
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Aloys Krieg (1991)
Mathematische Annalen
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Goluzina, E.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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S. Raghavan (1962)
Acta Arithmetica
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Ian Hambleton, Peter Teichner (1997)
Manuscripta mathematica
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