On class A operators

Sungeun Jung, Eungil Ko, and Mee-Jung Lee. "On class A operators." Studia Mathematica 198.3 (2010): 249-260. <http://eudml.org/doc/285575>.

@article{SungeunJung2010,
abstract = {We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.},
author = {Sungeun Jung, Eungil Ko, Mee-Jung Lee},
journal = {Studia Mathematica},
keywords = {class A operator; scalar extension; invariant subspace; nonhypertransitive},
language = {eng},
number = {3},
pages = {249-260},
title = {On class A operators},
url = {http://eudml.org/doc/285575},
volume = {198},
year = {2010},
}

TY - JOUR
AU - Sungeun Jung
AU - Eungil Ko
AU - Mee-Jung Lee
TI - On class A operators
JO - Studia Mathematica
PY - 2010
VL - 198
IS - 3
SP - 249
EP - 260
AB - We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.
LA - eng
KW - class A operator; scalar extension; invariant subspace; nonhypertransitive
UR - http://eudml.org/doc/285575
ER -