Algebras of Continuous Functions Invariant Under the 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: MATHEMATICA SCANDINAVICA
سال: 1974
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11509