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Characterizations of Inner Product Spaces

Characterizations of Inner Product Spaces

Paperback

Series: Operator Theory: Advances and Applications, Book 20

Gifts & Stationery GeneralGeneral ReferenceGeneral Science

ISBN10: 3034854897
ISBN13: 9783034854894
Publisher: Birkhauser
Published: Aug 23 2014
Pages: 200
Weight: 0.76
Height: 0.45 Width: 6.69 Depth: 9.61
Language: English
Every mathematician working in Banaeh spaee geometry or Approximation theory knows, from his own experienee, that most natural geometrie properties may faH to hold in a generalnormed spaee unless the spaee is an inner produet spaee. To reeall the weIl known definitions, this means IIx 11 = *, where is an inner (or: scalar) product on E, Le. a function from ExE to the underlying (real or eomplex) field satisfying: (i) O for x o. (ii) is linear in x. (iii) = (intherealease, thisisjust =

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