We have shown in [1] that domains of integral operators are not in general locally convex. In the case when such a domain is locally convex we show that it is an inductive limit of L¹-spaces with weights.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-28, author = {Pawe\l\ Szeptycki}, title = {Locally convex domains of integral operators}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {357-361}, zbl = {1084.47039}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-28} }
Paweł Szeptycki. Locally convex domains of integral operators. Banach Center Publications, Tome 68 (2005) pp. 357-361. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-28/