Distances between composition operators.
Extracta Mathematicae (2007)
- Volume: 22, Issue: 1, page 19-33
- ISSN: 0213-8743
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topMatache, Valentin. "Distances between composition operators.." Extracta Mathematicae 22.1 (2007): 19-33. <http://eudml.org/doc/41867>.
@article{Matache2007,
abstract = {Composition operators Cφ 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 Cφf = f º φ. In this paper, we consider the Hilbert Hardy space H2 on the open unit disk and find exact formulas for distances ||Cφ - Cψ|| 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.},
author = {Matache, Valentin},
journal = {Extracta Mathematicae},
keywords = {composition operators; norm-distance},
language = {eng},
number = {1},
pages = {19-33},
title = {Distances between composition operators.},
url = {http://eudml.org/doc/41867},
volume = {22},
year = {2007},
}
TY - JOUR
AU - Matache, Valentin
TI - Distances between composition operators.
JO - Extracta Mathematicae
PY - 2007
VL - 22
IS - 1
SP - 19
EP - 33
AB - Composition operators Cφ 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 Cφf = f º φ. In this paper, we consider the Hilbert Hardy space H2 on the open unit disk and find exact formulas for distances ||Cφ - Cψ|| 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.
LA - eng
KW - composition operators; norm-distance
UR - http://eudml.org/doc/41867
ER -
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