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

Kunyu Guo; Yongjiang Duan

Studia Mathematica, Tome 173 (2006), p. 141-152 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2006-01-01

Zbl 1119.47008

EUDML-ID : urn:eudml:doc:284639

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     title = {Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball},
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     year = {2006},
     pages = {141-152},
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Kunyu Guo; Yongjiang Duan. Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball. Studia Mathematica, Tome 173 (2006) pp. 141-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-2-4/