논문KCI 등재
Zero based invariant subspaces and fringe operators over the bidisk
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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.
Abstract
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.
참고문헌 (11)
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- R. Yang, "Operator theory in the Hardy space over the bidisk (III)", J. Funct. Anal, 186(2), pp.521~545 (2001)
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