mathlib
9af43e4e - feat(analysis/inner_product_space/basic): inner product as a (continuous) sesquilinear map (#10684)

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4 years ago
feat(analysis/inner_product_space/basic): inner product as a (continuous) sesquilinear map (#10684) This PR replaces `inner_right (v : E) : E β†’L[π•œ] π•œ` (the inner product with a fixed left element as a continuous linear map) by `innerβ‚›β‚— : E →ₗ⋆[π•œ] E β†’β‚—[π•œ] π•œ ` and `innerSL : E β†’L⋆[π•œ] E β†’L[π•œ] π•œ `, which bundle the inner product as a sesquilinear map and as a continuous sesquilinear map respectively.
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