- Pettis theorem
- теорема f Петтиса
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Pettis theorem
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Orlicz–Pettis theorem — In functional analysis, the Orlicz–Pettis theorem is a theorem about convergence in Banach spaces. It is named for Władysław Orlicz and Billy James Pettis. The result was originally proven by Orlicz for weakly sequentially complete normed… … Wikipedia
Milman–Pettis theorem — In mathematics, the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive. The theorem was proved independently by D. Milman (1938) and B. J. Pettis (1939). S. Kakutani gave a different proof in (1939), and John R.… … Wikipedia
Uniform integrability — The concept of uniform integrability is an important concept in functional analysis and probability theory. If μ is a finite measure, a subset is said to be uniformly integrable if Rephrased with a probabilistic language, the definition… … Wikipedia
List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… … Wikipedia
List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… … Wikipedia
Мильман, Давид Пинхусович — Давид Пинхусович Мильман (15 января 1912,[1] Чечельник Ольгопольского уезда Подольской губернии 12 июля 1982, Тель Авив) советско израильский математик, известный работами в области функционального анализа, в частности теории операторов. Кандидат … Википедия
Władysław Orlicz — (May 24 1903 in Okocim, Austria Hungary (now Poland) – August 9, 1990 in Poznań, Poland) was a Polish mathematician of Lwów School of Mathematics.His main interest was topology.Work*Orlicz Pettis theorem *Orlicz property *Orlicz theorem * Mazur… … Wikipedia
Reflexive space — In functional analysis, a Banach space is called reflexive if it satisfies a certain abstract property involving dual spaces. Reflexive spaces turn out to have desirable geometric properties. Definition Suppose X is a normed vector space over R… … Wikipedia
Bochner integral — In mathematics, the Bochner integral extends the definition of Lebesgue integral to functions which take values in a Banach space.The theory of vector valued functions is a chapter of mathematical analysis, concerned with the generalisation to… … Wikipedia
David Milman — David Pinhusovich Milman (Russian: Давид Пинхусович Мильман; 15 January 1912, Chichelnik near Vinnytsia – 12 July 1982, Tel Aviv) was a Soviet and later Israeli mathematician specializing in functional analysis.[1] He was one of the major figures … Wikipedia
Weakly measurable function — See also= In mathematics mdash; specifically, in functional analysis mdash; a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function in the usual… … Wikipedia
