Special operators on classical spaces of analytic functions.
Hans Jarchow (2004)
Extracta Mathematicae
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Hans Jarchow (2004)
Extracta Mathematicae
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Engliš, Miroslav (2005)
Journal of Lie Theory
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Zhao, Ruhan (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Valentin Matache (2007)
Extracta Mathematicae
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Composition operators C induced by a selfmap φ of some set S are operators acting on a space consisting of functions on S by composition to the right with φ, that is Cf = f º φ. In this paper, we consider the Hilbert Hardy space H on the open unit disk and find exact formulas for distances ||C - C|| between composition operators. The selfmaps φ and ψ involved in those formulas are constant, inner, or analytic selfmaps of the unit disk fixing the origin.
Gunawan, Hendra, Neswan, Oki, Setya-Budhi, Wono (2005)
Beiträge zur Algebra und Geometrie
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Lindström, Mikael, Palmberg, Niklas (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mohamed Barraa, Mohamed Boumazgour (2001)
Extracta Mathematicae
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Bachir, A., Segres, A. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Castejón, A., Corbacho, E., Tarieladze, V. (2002)
Georgian Mathematical Journal
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Jabbarzadeh, M.R. (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Zagorodnyuk, S. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Jérôme Verliat (2007)
Extracta Mathematicae
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In this paper, we will use results developed by Ansari and Enflo in the theory of bounded linear operators with dense range. We define two maps, with regards to some parameters, that control surjectivity default of a given operator, and prove analycity for the first one and global continuity for the other one. Minimisation results are also obtained in relation to this study.