Predlagaemoe izdanie posvyascheno geometricheskoj teorii normirovannykh (v chastnosti, banakhovykh) prostranstv. Izuchayutsya proektory i bazisy v normirovannykh prostranstvakh. Kniga vklyuchaet razdely po razlichnym voprosam, otnosyaschimsya k problemam suschestvovaniya i edinstvennosti proektorov, razlichnym tipam bazisov, izucheniyu sopryazhennykh prostranstv, kharakterizatsii gil'bertova prostranstva. Naryadu s chisto uchebnym materialom kniga soderzhit rezul'taty, poluchennye za poslednie 45 let posle vykhoda knigi M. M. Deya "Linejnye normirovannye prostranstva". Kniga prednaznachena dlya nauchnykh rabotnikov, aspirantov i studentov starshikh kursov universitetov, pedagogicheskikh i tekhnicheskikh vuzov. The book is devoted to the geometric theory of normed (especially Banach) spaces. Projections and bases in normed spaces are considered. The book includes some information on the problems of existence and uniqueness of projections, various types of bases, conjugate spaces, characterization of Hilbert spaces. The book contains both the educational material and some new results obtained in last 45 years since M. M. Day's book ``Linear normed spaces" had been published. We offer this book to scientists in mathematics, post- and undergraduates.
show more...Just click on START button on Telegram Bot