Zbigniew Lipecki

Ph. D.: IM PAN 1973, habilitation: IM PAN 1985

My areas of research are Measure Theory, Functional Analysis and Operator Theory. I am also interested in the history of 20th century mathematics. I am mainly concerned with extending additive set functions and operators on vector lattices and with constructions and properties of dense subspaces [resp. sublattices] of topological vector spaces [resp. lattices]. Some of my results on these subjects are included in several books and monographs (e.g., C. D. Aliprantis and O. Burkinshaw, Positive Operators, Academic Press, 1985; P. Pérez Carreras and J. Bonet, Barrelled Locally Convex Spaces, North-Holland, 1987).

Part of my more recent work is devoted to the variation of an additive function defined on a Boolean algebra and taking values in a Banach space or an Abelian normed group.

Profesional Affiliations and Activities:

Referee for many Polish and foreign mathematical journals. Reviewer for Mathematical Reviews and Zentralblatt für Mathematik.

New Publications:

• Denseness and Borel complexity of some sets of vector measures, Studia Math. 165 (2004), 111--124.
• On compactness and extreme points of some sets of quasi-measures and measures. III, Manuscripta Math. 117 (2005), 463--473.
• Characteristic properties of the variation of a group-valued measure, Acta Sci. Math. (Szeged), in press.