Characterizations of Inner Product Spaces

Characterizations of Inner Product Spaces
Author :
Publisher : Birkhäuser
Total Pages : 205
Release :
ISBN-10 : 9783034854870
ISBN-13 : 3034854870
Rating : 4/5 (870 Downloads)

Book Synopsis Characterizations of Inner Product Spaces by : Amir

Download or read book Characterizations of Inner Product Spaces written by Amir and published by Birkhäuser. This book was released on 2013-11-21 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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