Filomat 2017 Volume 31, Issue 6, Pages: 1665-1670
https://doi.org/10.2298/FIL1706665B
Full text (
254 KB)
Unbounded composition operators via inductive limits: Cosubnormal operators with matrix symbols
Budzýnski Piotr (Uniwersytet Rolniczy w Krakowie, Katedra Zastosowán Matematyki, Krakow, Poland)
Dymek Piotr (Uniwersytet Rolniczy w Krakowie, Katedra Zastosowán Matematyki, Krakow, Poland)
Płaneta Artur (Uniwersytet Rolniczy w Krakowie, Katedra Zastosowán Matematyki, Krakow, Poland)
We prove, by use of inductive techniques, that assorted unbounded composition
operators in L2-spaces with matrix symbols are cosubnormal.
Keywords: Composition operator in L2-space, subnormal operator, cosubnormal operator, inductive limit of operators