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

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
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