Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral

An integral for a scalar function with respect to a multimeasure $N$ taking its values in a locally convex space is introduced. The definition is independent of the selections of $N$ 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 $d_H$-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

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