The approximation of fractional powers of a closed operator
Hughes, Rhonda J.
Illinois J. Math., Tome 24 (1980) no. 4, p. 333-343 / Harvested from Project Euclid
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This paper provides a unified approach to some perturbation problems recently considered by the author in joint work with S. Kantorovitz. The key result is that the semigroup of unbounded operators $\{J^{\alpha}\}$ formed by the fractional powers of a closed operator $J$ can be approximated in a canonical way by a certain family of bounded semigroups.
Publié le : 1980-06-15
Classification:  47D05,  47A55 
@article{1256047726,
     author = {Hughes, Rhonda J.},
     title = {The approximation of fractional powers of a closed operator},
     journal = {Illinois J. Math.},
     volume = {24},
     number = {4},
     year = {1980},
     pages = { 333-343},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256047726}
}

Hughes, Rhonda J. The approximation of fractional powers of a closed operator. Illinois J. Math., Tome 24 (1980) no. 4, pp.  333-343. http://gdmltest.u-ga.fr/item/1256047726/