Symmetry of Orthogonality with Smoothness

doi:https://doi.org/10.1007/978-3-0348-5487-0_20

Book Chapter10.1007/978-3-0348-5487-0_20

Symmetry of Orthogonality with Smoothness

Dan Amir-1986-01-01-Operator theory

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TL;DRAbstract

If orthogonality in E is symmetric then, by (18.7) and Lemma 10.4, E is smooth iff it is strictly convex. The conditions in this section characterize this case. Such are clearly:

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If orthogonality in E is symmetric then, by (18.7) and Lemma 10.4, E is smooth iff it is strictly convex. The conditions in this section characterize this case. Such are clearly:

Keywords

MathematicsOrthogonalityLemma (botany)SmoothnessSymmetry (geometry)Section (typography)Pure mathematicsRegular polygon

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