{"product_id":"characterizations-of-inner-product-spaces-von-amir","title":"Characterizations of Inner Product Spaces","description":"\u003cp\u003eEvery 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 =\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034854894\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783034854894","offer_id":49592491966789,"sku":"9783034854894","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/69c8fe1f-0371-48e7-876e-4550b809e51e.jpg?v=1772084318","url":"https:\/\/shop.autorenwelt.de\/en\/products\/characterizations-of-inner-product-spaces-von-amir","provider":"Autorenwelt Shop","version":"1.0","type":"link"}