On idempotent Liftings
On infinite derivatives of continuous functions
On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces
On integrability in F-spaces
Some usual and unusual properties of the Riemann integral for functions x : [a,b] → X where X is an F-space are investigated. In particular, a continuous integrable -valued function (0 < p < 1) with non-differentiable integral function is constructed. For some class of quasi-Banach spaces X it is proved that the set of all X-valued functions with zero derivative is dense in the space of all continuous functions, and for any two continuous functions x and y there is a sequence of differentiable...
On integration and the Radon-Nikodym theorem in quasicomplete locally convex topological vector spaces.
On integration in Banach spaces, I
On integration in Banach spaces, II
On integration in Banach spaces, III
On integration in Banach spaces, IV
On integration in Banach spaces, IX. Integration with respect to polymeasures
On integration in Banach spaces, V
On integration in Banach spaces, VI
On integration in Banach spaces, VII
On integration in Banach spaces, VIII. Polymeasures
On integration in Banach spaces. X: Integration with respect to polymeasures
On integration in Banach spaces, XI. Integration with respect to polymeasures
On integration in Banach spaces, XII. Integration with respect to polymeasures
On integration in Banach spaces, XIII. Integration with respect to polymeasures
On integration in complete bornological locally convex spaces
A generalization of I. Dobrakov’s integral to complete bornological locally convex spaces is given.
On integration of vector functions with respect to vector measures
We study integration of Banach space-valued functions with respect to Banach space-valued measures. We focus our attention on natural extensions to this setting of the Birkhoff and McShane integrals. The corresponding generalization of the Birkhoff integral was first considered by Dobrakov under the name -integral. Our main result states that -integrability implies McShane integrability in contexts in which the later notion is definable. We also show that a function is measurable and McShane integrable...