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Wladyslaw Orlicz (1903-1990)
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2000 (Polish)In: Polskie Towarzystwo Matematyczne. Roczniki. Seria 2: Wiadomosci Matematyczne, ISSN 0373-8302, Vol. 36, 85-147 p.Article in journal (Refereed) Published
Abstract [en]

This is an extensive article on the life and work of Wladyslaw Orlicz (1903--1990), one of the members of Banach's famous Polish school of functional analysis in Lwów (today Lviv in Ukraine; Russian Lvov) who after World War II originated the Pozna'n school in this domain. In the first part the authors present the vita of Orlicz, who was a man living in the stormy times of two world wars and in a place where these events were especially painful. The authors were members of Orlicz's seminar in the last period of his activity and they accurately describe the spirit of it. They do not describe the earlier process of Orlicz's creation of a school of functional analysis, which besides his research results was the most important of his merits. The second part of the article contains a detailed description of research achievements by Orlicz, accompanied by bibliographical data. The authors give an account of Orlicz's results in the following domains: (A) unconditional convergence of series and function series, (B) Orlicz spaces, (C) Matuszewska-Orlicz indices, (D) F-normed spaces and Saks spaces, (E) summability theory, (F) orthogonally additive functionals and modular spaces, (G) polynomial operators, (H) interpolation of operators, (I) differential equations---generic approach, (J) measure and integral, real functions, functions of bounded variation. A researcher in the field of history of functional analysis cannot neglect this article, which ought to be translated into English.

Place, publisher, year, edition, pages
2000. Vol. 36, 85-147 p.
Research subject
URN: urn:nbn:se:ltu:diva-8747Local ID: 74746720-7b09-11dc-a72d-000ea68e967bOAI: diva2:981685
Godkänd; 2000; 20071015 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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