TY - JOUR
ID - 58113
T1 - The existence of hyper-invariant subspaces for weighted shift operators
JO - Advances in Operator Theory
JA - AOT
LA - en
SN -
A1 - Sadeghi, Hossein
A1 - Mirzapour, Farzollah
Y1 - 2018
PY - 2018/07/01
VL - 3
IS - 3
SP - 690
EP - 698
KW - invariant subspace
KW - weighted space
KW - shift operator
DO - 10.15352/aot.1802-1316
N2 - We introduce some classes of Banach spaces for which the hyperinvariant subspace problem for the shift operator has positive answer. Moreover, we provide sufficient conditions on weights which ensure that certain subspaces of $ell^2_{{beta}}(mathbb{Z})$ are closed under convolution. Finally we consider some cases of weighted spaces for which the problem remains open.
UR - http://www.aot-math.org/article_58113.html
L1 - http://www.aot-math.org/pdf_58113_86409cebe989bb55a3992eaaa911aa5a.html
ER -