Simply invariant subspaces and generalized analytic functions
نویسندگان
چکیده
منابع مشابه
Simply Invariant Subspaces and Generalized Analytic Functions1
for all/, g E A. Let A 0 be the set of functions in A with// dm = 0. Denote by Hpidm) the closure [^4]p of ^4 in Lpidm), p = i, 2 and by Haidm) the weak* closure |yl]* of A in P°°(¿wi). We shall drop the parenthesis (dm), in the future, while referring to Lpidm) Hpidm), etc. The functions in Hp we call generalized analytic functions. Say that a closed subspace ÜDÍ of Lp is simply invariant if [...
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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: Proceedings of the American Mathematical Society
سال: 1965
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1965-0208409-5