On the topology of invariant subspaces of a shift of higher multiplicity
by Shonia, Giorgi, Ph.D., INDIANA UNIVERSITY, 2009, 24 pages; 3413640

Abstract:

Following Beurling's celebrated theorem and a study of the topology of invariant subspaces by R. Douglas and C. Pearcy [3] description of path connected components of invariant subspace lattice for shift of multiplicity one has been given by R.Yang [6]. In this paper we generalize result to arbitrary finite multiplicity. We show that there exists one to one correspondence between the invariant subspace lattice of shift of arbitrary finite multiplicity and the space of inner functions.
 
AdviserHari Bercovici
SchoolINDIANA UNIVERSITY
SourceDAI/B 71-09, p. , Sep 2010
Source TypeDissertation
SubjectsMathematics
Publication Number3413640
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