For an unbounded operator S the question whether its subnormality can be built up from that of every , 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-27,
author = {Franciszek Hugon Szafraniec},
title = {Subnormality and cyclicity},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {349-356},
zbl = {1080.47024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-27}
}
Franciszek Hugon Szafraniec. Subnormality and cyclicity. Banach Center Publications, Tome 68 (2005) pp. 349-356. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-27/