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Let $M$ be an invariant subspace of $H^2$ over the bidisk. Associated with $M$, we have the fringe operator $F^M_z$ on $M\om w M$. It is studied the Fredholmness of $F^M_z$ for (generalized) zero based invariant subspaces $M$. Also ${\rm ker}\, F^M_z$ and ${\rm ker}\, (F^M_z)^*$ are described.
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참고문헌 (11)
참고문헌 신청
X. Chen / 2003 / Analytic Hilbert Modules / Chapman & Hall/CRC
J. Conway / 2000 / A Course in Operator Theory, Grad. Stud. Math., Vol. 21 / Amer. Math. Soc
K. Guo / 2004 / The core function of submodules over the bidisk / Indiana Univ. Math. J 53(1):205~222
K. J. Izuchi / Splitting invariant subspaces in the Hardy space over the bidisk / J. Australian Math. Soc
K. J. Izuchi / One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk I
J. Conway / 2000 / A Course in Operator Theory, Grad. Stud. Math., Vol. 21 / Amer. Math. Soc
K. Guo / 2004 / The core function of submodules over the bidisk / Indiana Univ. Math. J 53(1):205~222
K. J. Izuchi / Splitting invariant subspaces in the Hardy space over the bidisk / J. Australian Math. Soc
K. J. Izuchi / One dimensional perturbation of invariant subspaces in the Hardy space over the bidisk I
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