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TVS may refer to: Mathematics * Topological vector space Television * Television Sydney, TV channel in Sydney, Australia * Television South, ITV franchise holder in the South of England between 1982 and 1992 * TVS Television Network, US distributor of live programming (mostly sports), in the 1960s and 1970s * TVS (Poland), a regional Silesia commercial DVB-T free-to-air television station * TVS (Russia), a defunct Russian television channel * TVS China, also known as Southern Television Guangdong, a regional television network * TVS (Venezuela), Venezuelan regional television channel based in the city of Maracay * Former name of the Brazilian channel now known as Sistema Brasileiro de Televisão * Television Saitama, Japan * TVS (São Tomé and Príncipe), the public television broadcaster of São Tomé and Príncipe * TVS (TV Sarawak), TV channel in Malaysia Other * T. V. Sundram, Indian industrialist ** TVS Group, an industrial conglomerate based in India *** TVS Electro ...
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Topological Vector Space
In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is also a topological space with the property that the vector space operations (vector addition and scalar multiplication) are also Continuous function, continuous functions. Such a topology is called a and every topological vector space has a Uniform space, uniform topological structure, allowing a notion of uniform convergence and Complete topological vector space, completeness. Some authors also require that the space is a Hausdorff space (although this article does not). One of the most widely studied categories of TVSs are locally convex topological vector spaces. This article focuses on TVSs that are not necessarily locally convex. Banach spaces, Hilbert spaces and Sobolev spaces are other well-known examples of TVSs. Many topological vec ...
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