Isometric Charaterization of Inner Product Spaces

by Dan Amir

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...

• Format: Hardcover
• Language: English
• ISBN: 3764317744
• ISBN13: 9783764317744
• Release Date: January 1986
• Publisher: Birkhauser
• Length: 200 Pages