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Displaying 281 – 300 of 388

Representation of operators with martingales and the Radon-Nikodým property.

Manuel González, Antonio Martínez-Abejón, Javier Pello-García (2004)

Extracta Mathematicae

The Radon-Nikodým property was introduced to describe those Banach spaces X for which all operators acting between L1 and X have a representation function. These spaces can be characterized in terms of martingales, as those spaces in which every uniformly bounded martingale converges. In the present work we study some classes of operators defined upon their behaviour with respect to the convergence of such martingales. We prove that an operator preserves the non-convergence of uniformly bounded...

Representation of vector measures.

Guzmán-Partida, Martha (2010)

Revista Colombiana de Matemáticas

Reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces.

Dragomir, S.S. (2005)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Riemann type integrals for functions taking values in a locally convex space

Valeria Marraffa (2006)

Czechoslovak Mathematical Journal

The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.

Riesz spaces valued measures and processes

Nassif Ghoussoub (1982)

Bulletin de la Société Mathématique de France

Sélection mesurable de mesures maximales

Michel Talagrand (1975/1976)

Séminaire Choquet. Initiation à l'analyse

Semivariation in $L^{p}$ -spaces

Brian Jefferies, Susumu Okada (2005)

Commentationes Mathematicae Universitatis Carolinae

Suppose that $X$ and $Y$ are Banach spaces and that the Banach space $X {\hat{\otimes}}_{τ} Y$ is their complete tensor product with respect to some tensor product topology $τ$ . A uniformly bounded $X$ -valued function need not be integrable in $X {\hat{\otimes}}_{τ} Y$ with respect to a $Y$ -valued measure, unless, say, $X$ and $Y$ are Hilbert spaces and $τ$ is the Hilbert space tensor product topology, in which case Grothendieck’s theorem may be applied. In this paper, we take an index $1 \leq p < \infty$ and suppose that $X$ and $Y$ are $L^{p}$ -spaces with $τ_{p}$ the associated $L^{p}$ -tensor product...

Sequential compactness for the weak topology of vector measures in certain nuclear spaces.

Kawabe, Jun (2001)

Georgian Mathematical Journal

Set valued measures and integral representation

Xiao Ping Xue, Cheng Lixin, Goucheng Li, Xiao Bo Yao (1996)

Commentationes Mathematicae Universitatis Carolinae

The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.

Sets with the Radon-Nikodým property in conjugate Banach space

J. Bourgain (1980)

Studia Mathematica

Sobre el teorema de Dieudonné-Cirothendieck.

Baltasar Rodríguez-Salinas (1980)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Sobre el teorema de Dieudonné-Grothendieck. Condiciones necesarias y suficientes.

Baltasar Rodríguez-Salinas (1980)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Sobre la derivabilidad del producto de medidas vectoriales.

Fidel José Fernández y Fernández-Arroyo (1987)

Collectanea Mathematica

Sobre la existencia del producto de medidas valoradas en espacios localmente convexos: una condición necesaria.

Fidel José Fernández y Fernández-Arroyo (1988)

Publicacions Matemàtiques

A necessary condition is given for the existence of the tensor product of certain measures valued in locally convex spaces.

Some change of variable formulas in integral representation theory.

Meziani, I. (2005)

Acta Mathematica Universitatis Comenianae. New Series

Some convergence theorems for HK-integral in locally convex spaces

Sokol Bush Memetaj (2011)

Annales Polonici Mathematici

We present some convergence theorems for the HK-integral of functions taking values in a locally convex space. These theorems are based on the concept of HK-equiintegrability.

Some integral representations of differentiable functions.

Ю.Г. Решетняк (1971)

Sibirskij matematiceskij zurnal

Some new classes of Banach-Mackey spaces.

L. Drewnowski, M. Florencio, P. Paúl (1992)

Manuscripta mathematica

Some problems arising in connection with the theory of vector measures

Joe Diestel (1977)

Séminaire Choquet. Initiation à l'analyse

Some problems for measures on non-standard algebraic structures

Maria Gabriella Graziano (2000)

Bollettino dell'Unione Matematica Italiana

Nell'ultimo ventennio tutta una serie di lavori è stata rivolta allo studio delle misure su strutture algebriche più generali delle algebre di Boole, come i poset e i reticoli ortomodulari, le effect algebras, le BCK-algebras. La teoria così ottenuta interessa l'analisi funzionale, il calcolo delle probabilità e la topologia, più recentemente la teoria delle decisioni. Si presentano alcuni risultati relativi a misure su strutture algebriche non-standard analizzando, in particolare, gli aspetti topologici...

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