Topologies on spaces of linear maps
In mathematics, a linear map is a mapping between two modules (including vector spaces) that preserves the operations of addition and scalar multiplication. By studying the linear maps between two modules one can gain insight into their structures. If the modules have additional structure, like topologies or bornologies, then one can study the subspace of linear maps that preserve this structure.
Barrelled setBornological spaceBornologyCompact-open topologyComplete topological vector spaceDistribution (mathematics)Dual topologyFilters in topologyInductive tensor productInjective tensor productMackey spaceMackey topologyNuclear operatorNuclear spacePolar topologyPositive linear operatorProjective tensor productReflexive spaceSaturated familySemi-reflexive spaceSpace of linear mapsStrong dual spaceTopologies of Uniform ConvergenceTopology of uniform convergenceVector bornologyVector spaceWeak topology
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Topologies on spaces of linear maps
In mathematics, a linear map is a mapping between two modules (including vector spaces) that preserves the operations of addition and scalar multiplication. By studying the linear maps between two modules one can gain insight into their structures. If the modules have additional structure, like topologies or bornologies, then one can study the subspace of linear maps that preserve this structure.
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In mathematics, a linear map i ...... that preserve this structure.
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If and if is a net in , then ...... converges uniformly to on .
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Let be a non-empty collection ...... alanced hull of every set in .
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The -topology on is compatibl ...... and every , is bounded in .
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In mathematics, a linear map i ...... that preserve this structure.
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Topologies on spaces of linear maps
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