Characterizations of Inner Product Spaces by AmirCharacterizations of Inner Product Spaces by Amir

Characterizations of Inner Product Spaces


Paperback | August 23, 2014

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Title:Characterizations of Inner Product SpacesFormat:PaperbackDimensions:9.61 × 6.69 × 0 inPublished:August 23, 2014Publisher:Birkhäuser BaselLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034854897

ISBN - 13:9783034854894

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Table of Contents

2-Dimensional Characterization.- The Parallelogram Equality and Derived Equalities.- Norm Derivatives Characterizations.- James' 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.- Kakutani's conditions.- 3-Dimensional Approximation Properties.- Blaschke'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.