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Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball

Kunyu Guo; Yongjiang Duan — 2006

Studia Mathematica

Let M be a Beurling-type submodule of $H ² (_{d})$ , the Hardy space over the unit ball $_{d}$ of $ℂ^{d}$ , and let $N = H ² (_{d}) / M$ be the associated quotient module. We completely describe the spectrum and essential spectrum of N, and related index theory.

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