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

Kunyu Guo, and Yongjiang Duan. "Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball." Studia Mathematica 177.2 (2006): 141-152. <http://eudml.org/doc/284639>.

@article{KunyuGuo2006,
abstract = {Let M be a Beurling-type submodule of $H²(_\{d\})$, the Hardy space over the unit ball $_\{d\}$ of $ℂ^\{d\}$, and let $N = H²(_\{d\})/M$ be the associated quotient module. We completely describe the spectrum and essential spectrum of N, and related index theory.},
author = {Kunyu Guo, Yongjiang Duan},
journal = {Studia Mathematica},
keywords = {Beurling-type submodule; spectrum; essential spectrum; inner functions; Hardy module; quotient module},
language = {eng},
number = {2},
pages = {141-152},
title = {Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball},
url = {http://eudml.org/doc/284639},
volume = {177},
year = {2006},
}

TY - JOUR
AU - Kunyu Guo
AU - Yongjiang Duan
TI - Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 2
SP - 141
EP - 152
AB - Let M be a Beurling-type submodule of $H²(_{d})$, the Hardy space over the unit ball $_{d}$ of $ℂ^{d}$, and let $N = H²(_{d})/M$ be the associated quotient module. We completely describe the spectrum and essential spectrum of N, and related index theory.
LA - eng
KW - Beurling-type submodule; spectrum; essential spectrum; inner functions; Hardy module; quotient module
UR - http://eudml.org/doc/284639
ER -