Subnormality and cyclicity
Volume 67 / 2005
Banach Center Publications 67 (2005), 349-356
MSC: Primary 47A20, 47B20, 47D03; Secondary 47A56, 47D40.
DOI: 10.4064/bc67-0-27
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.
