Operators with absolute continuity properties: an application to quasinormality

Zenon Jan Jabłoński, Il Bong Jung, and Jan Stochel. "Operators with absolute continuity properties: an application to quasinormality." Studia Mathematica 215.1 (2013): 11-30. <http://eudml.org/doc/285380>.

@article{ZenonJanJabłoński2013,
abstract = {An absolute continuity approach to quasinormality which relates the operator in question to the spectral measure of its modulus is developed. Algebraic characterizations of some classes of operators that emerge in this context are found. Various examples and counterexamples illustrating the concepts of the paper are constructed by using weighted shifts on directed trees. Generalizations of these results that cover the case of q-quasinormal operators are established.},
author = {Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel},
journal = {Studia Mathematica},
keywords = {quasinormal opereator; spectral measure; absolute continuity; weighted shift on directed tree; -quasinormal operator},
language = {eng},
number = {1},
pages = {11-30},
title = {Operators with absolute continuity properties: an application to quasinormality},
url = {http://eudml.org/doc/285380},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Zenon Jan Jabłoński
AU - Il Bong Jung
AU - Jan Stochel
TI - Operators with absolute continuity properties: an application to quasinormality
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 1
SP - 11
EP - 30
AB - An absolute continuity approach to quasinormality which relates the operator in question to the spectral measure of its modulus is developed. Algebraic characterizations of some classes of operators that emerge in this context are found. Various examples and counterexamples illustrating the concepts of the paper are constructed by using weighted shifts on directed trees. Generalizations of these results that cover the case of q-quasinormal operators are established.
LA - eng
KW - quasinormal opereator; spectral measure; absolute continuity; weighted shift on directed tree; -quasinormal operator
UR - http://eudml.org/doc/285380
ER -