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Displaying 181 – 200 of 388

On Denjoy type extensions of the Pettis integral

Kirill Naralenkov (2010)

Czechoslovak Mathematical Journal

In this paper two Denjoy type extensions of the Pettis integral are defined and studied. These integrals are shown to extend the Pettis integral in a natural way analogous to that in which the Denjoy integrals extend the Lebesgue integral for real-valued functions. The connection between some Denjoy type extensions of the Pettis integral is examined.

On Denjoy-Dunford and Denjoy-Pettis integrals

José Gámez, José Mendoza (1998)

Studia Mathematica

The two main results of this paper are the following: (a) If X is a Banach space and f : [a,b] → X is a function such that x*f is Denjoy integrable for all x* ∈ X*, then f is Denjoy-Dunford integrable, and (b) There exists a Dunford integrable function $f : [a, b] \to c_{0}$ which is not Pettis integrable on any subinterval in [a,b], while $ʃ_{J} f$ belongs to $c_{0}$ for every subinterval J in [a,b]. These results provide answers to two open problems left by R. A. Gordon in [4]. Some other questions in connection with Denjoy-Dundord...

On exhaustive vector measures.

Ferrando, Juan Carlos, López-Pellicer, Manuel (1994)

Revista Colombiana de Matemáticas

On extension of Baire vector measures

Miloslav Duchoň (1986)

Mathematica Slovaca

On extension of vector polymeasures

Ivan Dobrakov (1988)

Czechoslovak Mathematical Journal

On extension of vector polymeasures. II.

Ivan Dobrakov (1995)

Mathematica Slovaca

On Henstock-Dunford and Henstock-Pettis integrals.

Ye, Guoju, An, Tianqing (2001)

International Journal of Mathematics and Mathematical Sciences

On homomorphisms of projective lattices in complex Hilbert spaces

A. Paszkiewicz (1980)

Colloquium Mathematicae

On integrability in F-spaces

Mikhail Popov (1994)

Studia Mathematica

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 $l_{p}$ -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.

David Gilliam (1977)

Journal für die reine und angewandte Mathematik

On integration in Banach spaces, I

Ivan Dobrakov (1970)

Czechoslovak Mathematical Journal

On integration in Banach spaces, II

Ivan Dobrakov (1970)

Czechoslovak Mathematical Journal

On integration in Banach spaces, III

Ivan Dobrakov (1979)

Czechoslovak Mathematical Journal

On integration in Banach spaces, IV

Ivan Dobrakov (1980)

Czechoslovak Mathematical Journal

On integration in Banach spaces, IX. Integration with respect to polymeasures

Ivan Dobrakov (1988)

Czechoslovak Mathematical Journal

On integration in Banach spaces, V

Ivan Dobrakov (1980)

Czechoslovak Mathematical Journal

On integration in Banach spaces, VI

Ivan Dobrakov, Pedro Morales (1985)

Czechoslovak Mathematical Journal

On integration in Banach spaces, VII

Ivan Dobrakov (1988)

Czechoslovak Mathematical Journal

On integration in Banach spaces, VIII. Polymeasures

Ivan Dobrakov (1987)

Czechoslovak Mathematical Journal

On integration in Banach spaces. X: Integration with respect to polymeasures

Ivan Dobrakov (1988)

Czechoslovak Mathematical Journal

Currently displaying 181 – 200 of 388

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