15 research outputs found
Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral
An integral for a scalar function with respect to a multimeasure taking
its values in a locally convex space is introduced. The definition is
independent of the selections of and is related to a functional version of
the Bartle-Dunford-Schwartz integral with respect to a vector measure presented
by Lewis. Its properties are studied together with its application to
Radon-Nikodym theorems in order to represent as an integrable derivative the
ratio of two general multimeasures or two -multimeasures; equivalent
conditions are provided in both cases.Comment: we have changed the title of the articl
Convergence for varying measures in the topological case
In this paper convergence theorems for sequences of scalar, vector and
multivalued Pettis integrable functions on a topological measure space are
proved for varying measures vaguely convergent.Comment: 19 page
The Completeness Problem in Spaces of Pettis Integrable Functions
Two subspaces of the space of Banach space valued Pettis
integrable functions are considered: the space P(μ, X, var) of
Pettis integrable functions with integrals of finite variation in a Banach
space X and LLN (μ, X*, var) is always complete
and P(μ, X*, var) is complete if Martin's axiom and
the perfectness of
μ are assumed. Moreover,
a non-trivial example of a non-conjugate Banach space X with non-complete P(μ,
X, var) is presented.
Mathematics Subject Classification (2000): Primary: 46G10; Secondary:
28B05, 28A15. Keywords: completeness, Pettis integral, lifting, vector measures,
measure preserving transformations, differentiation theory, differentiation
of set functions, vector valued integration, vector valued measures, Zermelo-Fraenkel,
axiom of choice, functional analysis, Hahn-Banach, Banach, banach space, Pettis,
Pettis integrable, completeQuaestiones Mathematicaes 24 (4) 2001, 441–45
A few remarks concerning the strong law of large numbers for non-seprabale Banach space valued functions
Higher education reforms in Finland in the domain of financing of higher education institutions
Finnish system of education is widely discussed and often used as role model of a modern educational system that is adjusted to the needs of the society and national economy. This analysis covers current issues pertaining to the functioning of Finnish higher education institutions and to their finances. It attempts to point at mechanisms and institutions that are responsible for the functioning of the higher education system, by paying attention to the professional, administrative and legal issues. With a short reference to the historical developments, the most important higher education reforms are presented as changing the financial foundation of the whole sector. In a comparative perspective it may be seen as innovative thinking about public management and about efficient use of the public finances.Fiński system edukacji jest szeroko dyskutowany i często stawiany za wzór rozwoju nowoczesnego szkolnictwa – dopasowanego do wymogów społeczeństwa, a jednocześnie do potrzeb rozwiniętej gospodarki. Niniejsza analiza porusza aktualne zagadnienia związane z fińskimi uczelniami wyższymi i ich finansowaniem, próbując wskazać na mechanizmy i instytucje odpowiedzialne za funkcjonowanie tego systemu. Poruszane są również wątki merytoryczne, administracyjne oraz prawne wpływające na finansowanie szkolnictwa wyższego w Finlandii. Na tle krótkiego rysu historycznego zostały przedstawione najważniejsze reformy, zmieniające podstawy finansowe tego sektora, co w perspektywie porównawczej może być odczytywane jako nowatorskie myślenie o zarządzaniu publicznym i o skutecznym wykorzystaniu finansów publicznych
Lifting and some of its applications to the theory of Pettis integral
Basic facts concerning general lifting and lifting in
products of finite measure spaces are presented. Then a few results on the Pettis integrability of Banach space valued functions
and their lifting are proved
Rozmrażanie Wschodu. Najnowszy duński dyskurs o Polsce. [Defrosting the East. The latest Danish discourse on Poland]
The chapter analyses changes in the perception of Poland and Poles in the Danish press after 2009. The authors investigate three major discursive fields of narrative framing, such as freedom, progress and modernity and the field of image-building. In the conclusion a question is posed about the sustainability of the observed changes in the perception
Multi-integrals of finite variation
The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain
decomposition results