Subnormal Weighted Shifts on Directed Trees and Composition Operators inL2-Spaces with Nondensely Defined Powers
Keyword(s):
It is shown that for every positive integernthere exists a subnormal weighted shift on a directed tree (with or without root) whosenth power is densely defined while its (n+1)th power is not. As a consequence, for every positive integernthere exists a nonsymmetric subnormal composition operatorCin anL2-space over aσ-finite measure space such thatCnis densely defined andCn+1is not.
1992 ◽
Vol 53
(1)
◽
pp. 9-16
1979 ◽
Vol 28
(3)
◽
pp. 309-314
◽
1994 ◽
Vol 124
(2)
◽
pp. 301-316
◽
1990 ◽
Vol 32
(1)
◽
pp. 87-94
◽
1973 ◽
Vol 25
(2)
◽
pp. 252-260
◽
Keyword(s):
Keyword(s):
1960 ◽
Vol 97
(2)
◽
pp. 254-254
◽
2004 ◽
Vol 76
(2)
◽
pp. 189-206
◽