On the multiplication operators on spaces of analytic functions

B. Yousefi, and S. Foroutan. "On the multiplication operators on spaces of analytic functions." Studia Mathematica 168.2 (2005): 187-191. <http://eudml.org/doc/284620>.

@article{B2005,
abstract = {We consider Hilbert spaces of analytic functions on a plane domain Ω and multiplication operators on such spaces induced by functions from $H^\{∞\}(Ω)$. Recently, K. Zhu has given conditions under which the adjoints of multiplication operators on Hilbert spaces of analytic functions belong to the Cowen-Douglas classes. In this paper, we provide some sufficient conditions which give the converse of the main result obtained by K. Zhu. We also characterize the commutant of certain multiplication operators.},
author = {B. Yousefi, S. Foroutan},
journal = {Studia Mathematica},
keywords = {Hilbert space of analytic functions; essential spectrum; Fredholm operator; Cowen-Douglas class of operators; commutant},
language = {eng},
number = {2},
pages = {187-191},
title = {On the multiplication operators on spaces of analytic functions},
url = {http://eudml.org/doc/284620},
volume = {168},
year = {2005},
}

TY - JOUR
AU - B. Yousefi
AU - S. Foroutan
TI - On the multiplication operators on spaces of analytic functions
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 2
SP - 187
EP - 191
AB - We consider Hilbert spaces of analytic functions on a plane domain Ω and multiplication operators on such spaces induced by functions from $H^{∞}(Ω)$. Recently, K. Zhu has given conditions under which the adjoints of multiplication operators on Hilbert spaces of analytic functions belong to the Cowen-Douglas classes. In this paper, we provide some sufficient conditions which give the converse of the main result obtained by K. Zhu. We also characterize the commutant of certain multiplication operators.
LA - eng
KW - Hilbert space of analytic functions; essential spectrum; Fredholm operator; Cowen-Douglas class of operators; commutant
UR - http://eudml.org/doc/284620
ER -