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Necessary Condition for Vector-Valued Model Spaces to be Invariant Under Conjugation
ISSN: 2149 - 1402
Publisher: author
Necessary Condition for Vector-Valued Model Spaces to be Invariant Under Conjugation
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Science General
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1.3
Article Basics Score: 3
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Article Operation Score: 3
Article Articles Score: 2
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214976551402
eISSN
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2149 - 1402
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Abstract
The S^∗-invariant subspaces of the Hardy-Hilbert space H^2(E)(where E is finite-dimensional Hilbert space of dimension greater than 1) on the unit disc is well known. In this study, we examine that, if Ω is a conjugation on E, and Θ an inner function, then there exist model spaces which are not invariant for the conjugation C_Ω:L^2(E)⟶L^2(E). Under what necessary condition the model spaces is mapped onto itself is under consideration.
