Characterizations of Inner Product Spaces
Download or Read eBook Characterizations of Inner Product Spaces PDF 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.
| Author | : Amir |
| Publisher | : Birkhäuser |
| Total Pages | : 205 |
| Release | : 2013-11-21 |
| ISBN-10 | : 9783034854870 |
| ISBN-13 | : 3034854870 |
| Rating | : 4/5 (70 Downloads) |
Book Synopsis Characterizations of Inner Product Spaces by : Amir
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 =
