QUASI-INNER FUNCTIONS OF A GENERALIZED BEURLINGS THEOREM

Title & Authors
QUASI-INNER FUNCTIONS OF A GENERALIZED BEURLINGS THEOREM
Kim, Yun-Su;

Abstract
We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator S$\small{_K}$ on a vector-valued Hardy space H$\small{^2}$($\small{{\Omega}}$, K) is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions and quasi-inner divisors.
Keywords
a generalized Beurling`s theorem;Hardy spaces;quasi-inner functions;rationally invariant subspaces;
Language
English
Cited by
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