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Characterizations of Inner Product Spaces

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Birkhäuser Verlag, 1986 - Mathematics - 200 pages

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Contents

Introduction
1
Structure
3
Notation
4
Copyright

26 other sections not shown

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Characterizations of inner product spaces
Characterizations of inner product spaces
Dan Amir
Snippet view - 1986

Common terms and phrases

2-dimensional space 2-dimensional subspace assume dim Banach spaces Birkhoff bounded chord closed maximal subspace condition conv convA convex set dimE dimensional ellipsoid embeds equivalent Euclidean figure finite geometric Hahn-Banach theorem hence Hilbert spaces immediate implies strict convexity inequality inner product spaces intersection isoceles triangle isometry Lemma linear isometries linear projection linear selection linearly independent Math Metric projections midpoint minimal nonexpansive norm-1 projection normed space numbered orthogonality is symmetric parallel to uv parallelogram parallelogram equality plane points Proof properties proximinal rE(A satisfies segment sgnx sgny smooth strictly convex subspace F sup inf supporting hyperplane tangent twice differentiable u,v e u,v e SE u,v e Sg unique unit sphere Vu,v e Vu.v e Vx,y e ZE(A

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Bibliographic information

QR code for Characterizations of Inner Product Spaces
TitleCharacterizations of Inner Product Spaces
Volume 20 of Operator theory
Volume 20 of Operator theory, advances and applications, ISSN 0255-0156
AuthorDan Amir
PublisherBirkhäuser Verlag, 1986
Original fromthe University of California
DigitizedMay 27, 2008
ISBN3764317744, 9783764317744
Length200 pages
Subjects › 

Mathematics / General
  
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