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Intertwining multiplication operators on function spaces

Yousefi B., Bagheri L.

Bulletin of the Polish Academy of Sciences. Mathematics

2006

Vol. 54, no 3-4

273-276

Suppose that Χ is a Banach space of analytic functions on a plane domain Ω. We characterize the operators Τ that intertwine with the multiplication operators acting on Χ.

Linear Fredholm integral equations and the integral of Kurzweil

Federson M., Bianconi R.

Journal of Applied Analysis

2002

Vol. 8, nr 1

83-110

We apply the Kurzweil-Henstock integral setting to prove a Predholm Alternative-type result for the integral equation x(t)-K ∫[a,b] α(t,s) x (s)ds = f (t), t∈[a,b], J[a,b) where x and f are Kurzweil integrable functions (possibly highly oscillating) defined on a compact interval [a, b] of the real line with values on Banach spaces. An application is given.