Subnormality and cyclicity

Franciszek Hugon Szafraniec. "Subnormality and cyclicity." Banach Center Publications 67.1 (2005): 349-356. <http://eudml.org/doc/282049>.

@article{FranciszekHugonSzafraniec2005,
abstract = {For an unbounded operator S the question whether its subnormality can be built up from that of every $S_f$, the restriction of S to a cyclic space generated by f in the domain of S, is analyzed. Though the question at large has been left open some partial results are presented and a possible way to prove it is suggested as well.},
author = {Franciszek Hugon Szafraniec},
journal = {Banach Center Publications},
keywords = {unbounded subnormal operator; cyclic operator; vector of uniqueness; semispectral measure; elementary spectral measure},
language = {eng},
number = {1},
pages = {349-356},
title = {Subnormality and cyclicity},
url = {http://eudml.org/doc/282049},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Franciszek Hugon Szafraniec
TI - Subnormality and cyclicity
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 349
EP - 356
AB - For an unbounded operator S the question whether its subnormality can be built up from that of every $S_f$, the restriction of S to a cyclic space generated by f in the domain of S, is analyzed. Though the question at large has been left open some partial results are presented and a possible way to prove it is suggested as well.
LA - eng
KW - unbounded subnormal operator; cyclic operator; vector of uniqueness; semispectral measure; elementary spectral measure
UR - http://eudml.org/doc/282049
ER -