Structures · Topology
LinearMap.IsContPerfPair
For a topological ring R and two topological modules M and N, a continuous perfect pairing
is a continuous bilinear map M × N → R that is bijective in both arguments.
We require continuity in the forward direction only so that we can put several different topologies
on the continuous dual: strong, weak, weak-\* topology...
- Shape
- One type argument · adds continuous_uncurry, bijective_left, bijective_right
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Concrete types that are instances1
- Real
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Assumed by25
- ProperCone.dual
- LinearMap.toContPerfPair
- LinearMap.IsContPerfPair.continuous_uncurry
- ProperCone.dual_flip_dual
- ProperCone.subset_dual_dual
- ProperCone.dual_union
- ProperCone.dual.congr_simp
- ProperCone.dual_dual_flip
- LinearMap.continuous_uncurry_of_isContPerfPair
- ProperCone.dual_iUnion
- ProperCone.dual_zero
- LinearMap.toLinearMap_toContPerfPair
- LinearMap.IsContPerfPair.bijective_right
- LinearMap.continuous_of_isContPerfPair
- ProperCone.mem_dual
- LinearMap.toContPerfPair.congr_simp
- ProperCone.dual_le_dual
- ProperCone.dual_insert
- ProperCone.dual_singleton
- LinearMap.flip.instIsContPerfPair
- LinearMap.toContPerfPair_apply
- LinearMap.IsContPerfPair.bijective_left
- ProperCone.dual_empty
- ProperCone.dual_univ
- ProperCone.dual_sUnion
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