On Fréchet theorem in the set of measure preserving functions over the unit interval.
On lattices and algebras of simple functions
On measurable relation
On measurable solutions of a functional equation and its application to information theory
On measures connected with the Cauchy equation.
On measures connected with the Cauchy equation. (Short Communication).
On projection measurability of functions and multifunctions
On Riemann Sums and Lebesgue Integrals.
On separation properties for families of probability measures.
On small systems and compact families of Borel functions
On some Banach ideals of operators
On some properties of Hamel bases and their applications to Marczewski measurable functions
We introduce new properties of Hamel bases. We show that it is consistent with ZFC that such Hamel bases exist. Under the assumption that there exists a Hamel basis with one of these properties we construct a discontinuous and additive function that is Marczewski measurable. Moreover, we show that such a function can additionally have the intermediate value property (and even be an extendable function). Finally, we examine sums and limits of such functions.
On spaces of measurable functions
On subspaces of measurable real functions.
On the completeness of -spaces over a charge
On the difference property of families of measurable functions
We show that, generally, families of measurable functions do not have the difference property under some assumption. We also show that there are natural classes of functions which do not have the difference property in ZFC. This extends the result of Erdős concerning the family of Lebesgue measurable functions.
On the integration of set-valued mappings in a Banach space
On the lower semicontinuity of certain integral functionals
Si dimostra che il funzionale è semicontinuo inferiormente su , rispetto alla topologia indotta da , qualora l’integrando sia una funzione non-negativa, misurabile in , convessa in , limitata nell’intorno dei punti del tipo , e tale che la funzione sia semicontinua inferiormente su .
On the Measurability of Functions of Two Variables
On the measurability of real functions defined on product-spaces