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The existence of primitives for continuous functions in a quasi-Banach space. (English) Zbl 0866.46021

Summary: We show that if \(X\) is a quasi-Banach space with trivial dual then every continuous function \(f:[0,1]\to X\) has a primitive, answering a question of M. M. Popov.

MSC:

46G05 Derivatives of functions in infinite-dimensional spaces
46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
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