In this note, we discuss certain generalizations of γ-radonifying operators and their applications to the regularity for linear stochastic evolution equations on some special Banach spaces. Furthermore, we also consider a more general class of operators, namely the so-called summing operators and discuss the application to the compactness of the heat semi-group between weighted -spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc105-0-3,
author = {Zdzis\l aw Brze\'zniak and Hongwei Long},
title = {A note on $\gamma$-radonifying and summing operators},
journal = {Banach Center Publications},
volume = {104},
year = {2015},
pages = {43-57},
zbl = {1334.60106},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc105-0-3}
}
Zdzisław Brzeźniak; Hongwei Long. A note on γ-radonifying and summing operators. Banach Center Publications, Tome 104 (2015) pp. 43-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc105-0-3/