刊名:Journal of Mathematical Analysis and Applications
出版年:2016
出版时间:1 March 2016
年:2016
卷:435
期:1
页码:302-314
全文大小:422 K
文摘
It is shown that for any positive integer n there exists a subnormal weighted shift on a directed tree whose n th power is closed and densely defined while its class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15009518&_mathId=si1.gif&_user=111111111&_pii=S0022247X15009518&_rdoc=1&_issn=0022247X&md5=50228f48a8756f20411b51dbd0d5604e" title="Click to view the MathML source">(n+1)class="mathContainer hidden">class="mathCode">th power has trivial domain. Similar result for composition operators in class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X15009518&_mathId=si127.gif&_user=111111111&_pii=S0022247X15009518&_rdoc=1&_issn=0022247X&md5=d7b5f8fabb6072ae4a24f1ba8cf3e6a3" title="Click to view the MathML source">L2class="mathContainer hidden">class="mathCode">-spaces is established.