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Nelineynye Operatory V Reshetochno Normirovannykh Prostranstvakh: Ortogonal'no Additivnye Operatory Marat Pliev Russian edition
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Nelineynye Operatory V Reshetochno Normirovannykh Prostranstvakh: Ortogonal'no Additivnye Operatory
Marat Pliev
Dannaya monografiya posvyashchena otnositel'no molodoy oblasti funktsional'nogo analiza --- teorii mazhoriruemykh operatorov v prostranstvakh s vektornoy normoy. Osnovy teorii byli zalozheny sovetskim matematikom L. V. Kantorovichem v seredine 30-kh godov 20 stoletiya. V dal'neyshem v rabotakh ryada rossiyskikh i zarubezhnykh matematikov teoriya dostigla opredelennoy zrelosti. V knige izuchayutsya nelineynye mazhoriruemye operatory, deystvuyushchie v prostranstvakh s vektornoy normoy. Takimi prostranstvami yavlyayutsya, v chastnosti, prostranstva izmerimykh i nepreryvnykh vektor-funktsiy. V pervoy chasti razvivaetsya obshchaya teoriya mazhoriruemykh ortogonal'no additivnykh operatorov, deystvuyushchikh v abstraktnykh prostranstvakh. Vo vtoroy chasti razrabotannaya tekhnika primenyaetsya k polucheniyu teorem ob integral'nom predstavlenii dlya nelineynykh mazhoriruemykh operatorov tipa Urysona, deystvuyushchikh v prostranstvakh izmerimykh vektor-funktsiy. Kniga prednaznachena dlya spetsialistov v oblasti funktsional'nogo analiza i teorii operatorov. Ona takzhe dostupna studentam starshikh kursov matematicheskikh spetsial'nostey universitetov.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | April 14, 2011 |
| ISBN13 | 9783843307062 |
| Publishers | LAP LAMBERT Academic Publishing |
| Pages | 80 |
| Dimensions | 150 × 5 × 225 mm · 137 g |
| Language | German |
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