open mapping
71List of mathematics articles (O) — NOTOC O O minimal theory O Nan group O(n) Obelus Oberwolfach Prize Object of the mind Object theory Oblate spheroid Oblate spheroidal coordinates Oblique projection Oblique reflection Observability Observability Gramian Observable subgroup… …
72Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… …
73List of important publications in mathematics — One of the oldest surviving fragments of Euclid s Elements, found at Oxyrhynchus and dated to circa AD 100. The diagram accompanies Book II, Proposition 5.[1] This is a list of important publications in mathematics, organized by field. Some… …
74NGO2.0 — NGO 2.0 project is designed to enhance the digital and social media literacy of grassroots NGOs in the underdeveloped regions of China. The Project was launched by Prof Jing Wang, founder of MIT New Media Action Lab,[1] in collaboration with the… …
75Fréchet space — This article is about Fréchet spaces in functional analysis. For Fréchet spaces in general topology, see T1 space. For the type of sequential space, see Fréchet Urysohn space. In functional analysis and related areas of mathematics, Fréchet… …
76Invariance of domain — is a theorem in topology about homeomorphic subsets of Euclidean space R n . It states: :If U is an open subset of R n and f : U rarr; R n is an injective continuous map, then V = f ( U ) is open and f is a homeomorphism between U and V .The… …
77List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …
78Closed graph theorem — In mathematics, the closed graph theorem is a basic result in functional analysis which characterizes continuous linear operators between Banach spaces in terms of the operator graph. Contents 1 The closed graph theorem 2 Generalization 3 See… …
79Vlastimil Pták — (November 8 1925, Prague May 5 1999) was a Czech mathematician, who worked in functional analysis, theoretical numerical analysis, and linear algebra. Notable early work include generalizations of the open mapping theorem.During 1945 49 Vlastimil …
80Maximum modulus principle — A plot of the modulus of cos(z) (in red) for z in the unit disk centered at the origin (shown in blue). As predicted by the theorem, the maximum of the modulus cannot be inside of the disk (so the highest value on the red surface is somewhere… …
