ZERO BASED INVARIANT SUBSPACES AND FRINGE OPERATORS OVER THE BIDISK

Title & Authors
ZERO BASED INVARIANT SUBSPACES AND FRINGE OPERATORS OVER THE BIDISK
Izuchi, Kei Ji; Izuchi, Kou Hei; Izuchi, Yuko;

Abstract
Let M be an invariant subspace of $\small{H^2}$ over the bidisk. Associated with M, we have the fringe operator $\small{F^M_z}$ on $\small{M{\ominus}{\omega}M}$. It is studied the Fredholmness of $\small{F^M_z}$ for (generalized) zero based invariant subspaces M. Also ker $\small{F^M_z}$ and ker $\small{(F^M_z)^*}$ are described.
Keywords
Hardy space over the bidisk;zero based invariant subspace;fringe operator;Fredholm operator;Fredholm index;
Language
English
Cited by
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