Teorema de existencia y representación integral del producto tensorial de medidas vectoriales
Teorema de Ramsey aplicado a álgebras de Boole.
Some properties of Boolean algebras are characterized through the topological properties of a certain space of countable sequences of ordinals. For this, it is necessary to prove the Ramsey theorems for an arbitrary infinite cardinal. Also, we define continuous mappings on these spaces from vector measures on the algebra.
The absolute continuity of functions defined on the -ring generated by a ring
The Additive Exhaustive Functions On M-Lattice
The additive exhaustive functions on M-lattice.
The ap-Denjoy and ap-Henstock integrals
In this paper we define the ap-Denjoy integral and show that the ap-Denjoy integral is equivalent to the ap-Henstock integral and the integrals are equal.
The atoms of a countable sum of set functions
The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure
The Brooks-Jewett theorem for -triangular functions on difference posets and orthoalgebras
The Denjoy extension of the Bochner, Pettis, and Dunford integrals
The Denjoy extension of the Riemann and McShane integrals
In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping an interval into a Banach space It is shown that a Denjoy-Bochner integrable function on is Denjoy-Riemann integrable on , that a Denjoy-Riemann integrable function on is Denjoy-McShane integrable on and that a Denjoy-McShane integrable function on is Denjoy-Pettis integrable on In addition, it is shown that for spaces that do not contain a copy of , a measurable Denjoy-McShane integrable...
The distribution of unbounded random sets and the multivalued strong law of large numbers in nonreflexive Banach spaces.
The divergence theorem
This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.
The Fubini Theorem and Convolution of Vector-Valued Measures
The general Fubini theorem in complete bornological locally convex spaces.
The Henstock-Kurzweil approach to Young integrals with integrators in
In 1938, L. C. Young proved that the Moore-Pollard-Stieltjes integral exists if , and . In this note we use the Henstock-Kurzweil approach to handle the above integral defined by Young.
The Henstock-Kurzweil-Pettis integrals and existence theorems for the Cauchy problem
In this paper we prove an existence theorem for the Cauchy problem using the Henstock-Kurzweil-Pettis integral and its properties. The requirements on the function are not too restrictive: scalar measurability and weak sequential continuity with respect to the second variable. Moreover, we suppose that the function satisfies some conditions expressed in terms of measures of weak noncompactness.
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces.
The Kurzweil construction of an integral in ordered spaces
This paper generalizes the results of papers which deal with the Kurzweil-Henstock construction of an integral in ordered spaces. The definition is given and some limit theorems for the integral of ordered group valued functions defined on a Hausdorff compact topological space with respect to an ordered group valued measure are proved in this paper.
The Laplace transform of exponentially bounded vector-valued functions (real conditions)