Hilbert spaces of analytic functions with a contractive backward shift
نویسندگان
چکیده
منابع مشابه
Invariant Subspaces for the Backward Shift on Hilbert Spaces of Analytic Functions with Regular Norm
We investigate the structure of invariant subspaces of backward shift operator Lf = (f − f(0))/ζ on a large class of abstract Hilbert spaces of analytic functions on the unit disc where the forward shift operator Mζf = ζf acts as a contraction. Our main results show that under certain regularity conditions on the norm of such a space, the functions in a nontrivial invariant subspace of L have m...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2019
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2018.08.019