02295nam 2200601 a 450 991078089400332120230725041535.01-282-76147-19786612761478981-4287-27-X(CKB)2490000000001738(StDuBDS)AH24686441(SSID)ssj0000424222(PQKBManifestationID)12163060(PQKBTitleCode)TC0000424222(PQKBWorkID)10470208(PQKB)10116609(MiAaPQ)EBC1681659(Au-PeEL)EBL1681659(CaPaEBR)ebr10422427(CaONFJC)MIL276147(OCoLC)630153547(EXLCZ)99249000000000173820100407d2010 uy 0engur|||||||||||txtccrNorm derivatives and characterizations of inner product spaces[electronic resource] /Claudi Alsina, Justyna Sikorska, M. Santos TomásSingapore World Scientificc20101 online resource (190 p.)Bibliographic Level Mode of Issuance: Monograph981-4287-26-1 Includes bibliographical references and index.Norm Derivatives; Characterizations of Inner Product Spaces; Orthogonality Relations; Norm Derivatives and Heights; Perpendicular Bisectors in Real Normed Spaces; Bisectrices in Real Normed Spaces; Areas of Triangles in Normed Real Spaces.This work provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces.Normed linear spacesInner product spacesNormed linear spaces.Inner product spaces.515.732SK 350rvkAlsina Claudi309455Sikorska Justyna731628Tomás M. Santos731629MiAaPQMiAaPQMiAaPQBOOK9910780894003321Norm derivatives and characterizations of inner product spaces1441455UNINA