normed topology
71Reflective subcategory — In mathematics, a subcategory A of a category B is said to be reflective in B when the inclusion functor from A to B has a left adjoint. This adjoint is sometimes called a reflector. Dually, A is said to be coreflective in B when the inclusion… …
72Hing Tong — (February 16, 1922 – March 4, 2007) was a leading American mathematician. He is well known for providing the original proof of the Katetov Tong insertion theorem.LifeHing Tong was born in Canton, China. He received his bachelor s degree from the… …
73Kalyan Mukherjea — Kalyan Kumar Mukherjea is an authority on Indian classical music, particularly the Senia Shahjahanpur Gharana (school) of Sarod. He is also a noted mathematician.Early lifeMukherjea was born in Calcutta in 1943. His father, A K Mukherjea, was a… …
74List of mathematical symbols — This is a listing of common symbols found within all branches of mathematics. Each symbol is listed in both HTML, which depends on appropriate fonts being installed, and in TeX, as an image. This list is incomplete; you can help by expanding it.… …
75Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from …
76Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… …
77Reflexive 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… …
78Gelfand–Naimark theorem — In mathematics, the Gelfand–Naimark theorem states that an arbitrary C* algebra A is isometrically * isomorphic to a C* algebra of bounded operators on a Hilbert space. This result was a significant point in the development of the theory of C*… …
79Matrix norm — In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices. Contents 1 Definition 2 Induced norm 3 Entrywise norms 3.1 Frobenius norm …
80Lebesgue's lemma — For Lebesgue s lemma for open covers of compact spaces in topology see Lebesgue s number lemma In mathematics, Lebesgue s lemma is an important statement in approximation theory. It provides a bound for the projection error.tatementLet ( V , ||… …
