We characterize when Peetre's K -functional slowly decays to zero and we use this characterization demonstrate certain strict inclusions between real interpolation spaces.

‎In this paper‎, ‎first‎, ‎we investigate the construction of compact sets of $ C^k$ and $ C_0^k$‎ ‎by proving ``$C^k‎, ‎C_0^k-version$‎" ‎of Arzel`{a}-Ascoli theorem‎, ‎and then introduce new measures of noncompactness on these spaces‎. ‎Finally‎, ‎as an application‎, ‎we study the existence of entire solutions for a class of the functional integral-differential equations by using Darbo's fixe...

a series of 3-hydroxypyridin-4-one derivatives (hpos) were synthesized and their partition coefficient values (k part ) were determined. the cytotoxic effects of these iron chelators against hela cancer cells were also evaluated. the ic 50 of hpos was determined using mtt assay. among these ligands, compound 4e (k part =5.02) with an ic 50 of 30 µm and 4f (k part =0.1) with an ic 50 of 700 µm s...

the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...