Doubly commuting submodules of the Hardy module over polydiscs

Jaydeb Sarkar, Amol Sasane, and Brett D. Wick. "Doubly commuting submodules of the Hardy module over polydiscs." Studia Mathematica 217.2 (2013): 179-192. <http://eudml.org/doc/285700>.

@article{JaydebSarkar2013,
abstract = {In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in $H^\{∞\}(ⁿ)$.},
author = {Jaydeb Sarkar, Amol Sasane, Brett D. Wick},
journal = {Studia Mathematica},
keywords = {Hardy space; Hilbert space; invariant subspace; polydisk; shift operator; doubly commuting; completion problem},
language = {eng},
number = {2},
pages = {179-192},
title = {Doubly commuting submodules of the Hardy module over polydiscs},
url = {http://eudml.org/doc/285700},
volume = {217},
year = {2013},
}

TY - JOUR
AU - Jaydeb Sarkar
AU - Amol Sasane
AU - Brett D. Wick
TI - Doubly commuting submodules of the Hardy module over polydiscs
JO - Studia Mathematica
PY - 2013
VL - 217
IS - 2
SP - 179
EP - 192
AB - In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in $H^{∞}(ⁿ)$.
LA - eng
KW - Hardy space; Hilbert space; invariant subspace; polydisk; shift operator; doubly commuting; completion problem
UR - http://eudml.org/doc/285700
ER -