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.[1]
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 [2]
See also
- Kadec norm – All infinite-dimensional, separable Banach spaces are homeomorphicPages displaying short descriptions of redirect targets
- Degenerate bilinear form – Possible x & y for x-E conjugatesPages displaying wikidata descriptions as a fallback
- Dual system
- Topologies on spaces of linear maps
References
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Duality and spaces of linear maps
- Dual space
- Dual system
- Dual topology
- Duality
- Operator topologies
- Polar set
- Polar topology
- Topologies on spaces of linear maps
- Norm topology
- Ultraweak/Weak-*
- Weak
- polar
- operator
- in Hilbert spaces
- Mackey
- Strong dual
- polar topology
- operator
- Ultrastrong
- Saturated family
- Total set
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