Total set

In functional analysis, a total set (also called a complete set) in a vector space is a set of linear functionals with the property that if a vector satisfies for all then is the zero vector.

In a more general setting, a subset of a topological vector space is a total set or fundamental set if the linear span of is dense in

See also

• Kadec norm – All infinite-dimensional, separable Banach spaces are homeomorphic
• Degenerate bilinear form – Possible x & y for x-E conjugates
• Dual system
• Topologies on spaces of linear maps