Abstract. In this paper, we study closed invariant subspaces under the action of a unilateral shift and a truncated shift in the Hardy space that takes values in a two-dimensional Hilbert space. We deal with characteristic functions, unitary equivalence and $C^{\ast }$-algebras on these spaces.
AMS Subject Classification
(1991): 47B38, 47B35
Keyword(s):
vector valued Hardy spaces and shift operators
Received October 19, 2005, and in final form May 4, 2007. (Registered under 6458/2009.)
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