A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Integral representations of unbounded operators by infinitely smooth kernels
2005
Central European Journal of Mathematics
Preserved Fulltext
In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L 2 (R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators.
doi:10.2478/bf02475625
fatcat:z7elp5h64ngi3kbh43oslbbhk4