Condensing Volterra operators in locally convex spaces. (English) Zbl 0866.47042

Reichert, Marianne

Analysis 16, No. 4, 347-364 (1996).

Summary: We show that the set of fixed points of a continuous condensing Volterra operator in a locally convex space is compact and connected and apply this result to several examples.

MSC:

47H10	Fixed-point theorems
47E05	General theory of ordinary differential operators
47F05	General theory of partial differential operators
47G10	Integral operators

Keywords:

fixed points; continuous condensing Volterra operator