Measure theory | Banach spaces

Ba space

In mathematics, the ba space of an algebra of sets is the Banach space consisting of all bounded and finitely additive signed measures on . The norm is defined as the variation, that is If Σ is a sigma-algebra, then the space is defined as the subset of consisting of countably additive measures. The notation ba is a mnemonic for bounded additive and ca is short for countably additive. If X is a topological space, and Σ is the sigma-algebra of Borel sets in X, then is the subspace of consisting of all regular Borel measures on X. (Wikipedia).

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Topological space | Power set | Riesz representation theorem | Vector measure | Quotient space (topology) | Banach space | Simple function | Borel set | Dense set | Signed measure | Natural number | Mathematics | Dual space | Regular measure | Algebra of sets | Integral | Uniform norm | Radon measure | Lp space | Borel measure | Radon–Nikodym theorem