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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.
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 -