On functions orthogonal to invariant subspaces
نویسندگان
چکیده
منابع مشابه
Characteristic Functions and Joint Invariant Subspaces
Let T := [T1, . . . , Tn] be an n-tuple of operators on a Hilbert space such that T is a completely non-coisometric row contraction. We establish the existence of a “one-toone” correspondence between the joint invariant subspaces under T1, . . . , Tn, and the regular factorizations of the characteristic function ΘT associated with T . In particular, we prove that there is a non-trivial joint in...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1970
ISSN: 0001-5962
DOI: 10.1007/bf02394571