Проекторы и базисы в нормированных пространствах

Проекторы и базисы в нормированных пространствах

Author
Одинец В.П., Якубсон М.Я.
Publisher
УРСС
Language
Russian
Edition
2изд.
Year
2004
Page
155
ISBN
5-354-00961-8
File Type
djvu
File Size
3.5 MiB

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.

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