On a Certain Generalization of the Krasnosel'skii Theorem
On a Certain Generalization of the Krasnosel'skii Theorem
Galewski, M.
2003-06-01 00:00:00
We provide a generalization of a well known Krasnosel'skii theorem on continuity of the Nemytskii operator for functions taking values in separable Banach spaces. We follow the results obtained in Evans, Partial Differential Equations, Graduate Studies in Mathematics, Amer. Math. Soc., 1998 for the finite dimensional case.
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pngJournal of Applied Analysisde Gruyterhttp://www.deepdyve.com/lp/de-gruyter/on-a-certain-generalization-of-the-krasnosel-skii-theorem-8tOfWDv0S2
On a Certain Generalization of the Krasnosel'skii Theorem
We provide a generalization of a well known Krasnosel'skii theorem on continuity of the Nemytskii operator for functions taking values in separable Banach spaces. We follow the results obtained in Evans, Partial Differential Equations, Graduate Studies in Mathematics, Amer. Math. Soc., 1998 for the finite dimensional case.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.