Using some representation results for Köthe–Bochner spaces of vector valued functions by
means of vector measures, we analyze the maximal extension for some classes of linear …

In order to extend the theory of optimal domains for continuous operators on a Banach
function space X (μ) over a finite measure μ, we consider operators T satisfying other type of …

If $\lambda $ is a vector measure with values in a Banach space and $ p> 1$, we consider
the space of real functions $ L_p (\lambda) $ that are $ p $-integrable with respect to …

Let XY and Z be Banach function spaces over a measure space (Ω, Σ, μ)(Ω, Σ, μ). Consider
the spaces of multiplication operators X^ Y'XY′ from X into the Köthe dual Y′ of Y, and the …

Let C b (X) be the Banach lattice of all bounded continuous real-valued functions on a
completely regular Hausdorff space X and β denote the natural strict topology on C b (X). For …

We provide a tensor product representation of Köthe-Bochner function spaces of vector
valued integrable functions. As an application, we show that the dual space of a Köthe …

For a kernel operator T with values in a Banach function space X, we give monotonicity
conditions on the kernel which allow us to describe the rearrangement invariant optimal …

Using compactness properties of bounded subsets of spaces of vector measure integrable
functions and a representation theorem for q-convex Banach lattices, we prove a domination …

We prove that under adequate geometric requirements, translation invariant mappings
between vector-valued quasi-Banach function spaces on a locally compact group G have a …

In the paper [5] L. Drewnowski and the author proved that if $ X $ is a Banach space
containing a copy of $ c_0 $ then $ L_1 ({\mu}, X) $ is {\it not} complemented in $ cabv …