Perpendicular

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Definition

In an i.p.s, [ilmath](X,\langle\cdot,\cdot\rangle)[/ilmath] we define [ilmath]x[/ilmath] and [ilmath]y[/ilmath] being perpendicular[1] if:

  • [ilmath]\langle x,y\rangle=0[/ilmath]

and we write:

  • [ilmath]x\perp y[/ilmath]

References

  1. ↑ Functional Analysis - George Bachman and Lawrence Narici
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