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Results tagged with inner-product
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user 391
11
votes
What is a complex inner product space "really"?
This is a purely algebraic answer, so maybe not what you're looking for.
What would an inner product on a left $A$-module $M$ over a noncommutative algebra $A$ be? It should give a map $M \to M^*$ wh …
- 27.9k
17
votes
Accepted
Why do inner products require conjugation?
Bi- (or sesqui-) linear forms are nicer if they're nondegenerate. But they can always be restricted to subspaces. So, they're even nicer if they're nondegenerate on all subspaces. For symmetric forms …
- 27.9k