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초록· 키워드
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We introduce two kinds of quasi-inner functions. Since every
rationally invariant subspace for a shift operator S_K on a
vector-valued Hardy space H^{2}(Ω,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.
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참고문헌 (7)
참고문헌 신청
A. Beurling / 1948 / On two problems concerning linear transformations in Hilbert space / Acta Math 81 : 17 ~
A. Zucchi / 1997 / Operators of class C0 with spectra in multiply connected regions / Mem. Amer. Math. Soc 127 (607) : 52 ~
B. Sz.-Nagy / 1970 / Harmonic Analysis of Operators on Hilbert Space / North-Holland
H. Bercovici / 1988 / Operator Theory and Arithmetic in H1, Mathematical Surveys and Monographs / American Mathematical Society, Providence, RI : 26 ~
Paul R. Halmos / 1967 / A Hilbert Space Problem Book / Nostrand-Reinhold
A. Zucchi / 1997 / Operators of class C0 with spectra in multiply connected regions / Mem. Amer. Math. Soc 127 (607) : 52 ~
B. Sz.-Nagy / 1970 / Harmonic Analysis of Operators on Hilbert Space / North-Holland
H. Bercovici / 1988 / Operator Theory and Arithmetic in H1, Mathematical Surveys and Monographs / American Mathematical Society, Providence, RI : 26 ~
Paul R. Halmos / 1967 / A Hilbert Space Problem Book / Nostrand-Reinhold
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