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AuthorAmir, Dan. author
TitleCharacterizations of Inner Product Spaces [electronic resource] / by Dan Amir
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1986
Connect tohttp://dx.doi.org/10.1007/978-3-0348-5487-0
Descript VII, 200 p. online resource

CONTENT

2-Dimensional Characterization -- The Parallelogram Equality and Derived Equalities -- Norm Derivatives Characterizations -- Jamesโ{128}{153} Isoceles Orthogonality (Midpoints of Chords) -- Birkhoff Orthogolaity -- Best Approximation Characterizations -- Loewner Ellipsoids and Parallelogram Inequalities -- Pythagorean Type Orthogonalities -- Area Arguments and Area Orthogonalities -- Moduli of Convexity and Smoothness -- The Rectangular Constant and Orthogonality In S E -- Inversions and Four-Point Properties -- 3 - Dimensional Characterization -- Kakutaniโ{128}{153}s conditions -- 3-Dimensional Approximation Properties -- Blaschkeโ{128}{153}s Condition and Derived Characterizations -- Chebyshev Radius and Centers -- Combining the Garkavi-Klee Condition with the Hahn-Banach Theorem -- Best Coapproximation and Optimal Sets -- Symmetry of Orthogonality -- Symmetry of Orthogonality with Smoothness -- Subspace Homogeneity and Concluding Remarks


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