Hermitian operators on $H_E^{\infty }$ and $S_{}^{\infty }$

James Jamison. "Hermitian operators on $H^{∞}_E$ and $S^{∞}_{}$." Colloquium Mathematicae 130.1 (2013): 51-59. <http://eudml.org/doc/283790>.

@article{JamesJamison2013,
abstract = {A complete characterization of bounded and unbounded norm hermitian operators on $H^\{∞\}_E$ is given for the case when E is a complex Banach space with trivial multiplier algebra. As a consequence, the bi-circular projections on $H^\{∞\}_E$ are determined. We also characterize a subclass of hermitian operators on $S^\{∞\}_\{\}$ for a complex Hilbert space.},
author = {James Jamison},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {51-59},
title = {Hermitian operators on $H^\{∞\}_E$ and $S^\{∞\}_\{\}$},
url = {http://eudml.org/doc/283790},
volume = {130},
year = {2013},
}

TY - JOUR
AU - James Jamison
TI - Hermitian operators on $H^{∞}_E$ and $S^{∞}_{}$
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 1
SP - 51
EP - 59
AB - A complete characterization of bounded and unbounded norm hermitian operators on $H^{∞}_E$ is given for the case when E is a complex Banach space with trivial multiplier algebra. As a consequence, the bi-circular projections on $H^{∞}_E$ are determined. We also characterize a subclass of hermitian operators on $S^{∞}_{}$ for a complex Hilbert space.
LA - eng
UR - http://eudml.org/doc/283790
ER -