Diskretnyy operator Vinera-Khopfa i operator Teplitsa: Neterovost" i obratimost" v nekotorykh schetno-normirovannykh prostranstvakh (Russian Edition)
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Monografiya posvyashchena vazhnomu dlya prilozheniy razdelu funktsional"nogo analiza. V topologicheskikh prostranstvakh posledovatel"nostey, sostavlennykh iz elementov fiksirovannogo banakhova prostranstva, izuchayutsya diskretnye operatory tipa svertki, rassmatrivayutsya podobnye otnositel"no preobrazovaniya Lorana operatory. Osnovnoe vnimanie udelyaetsya operatoram Vinera-Khopfa i Telitsa. Stroitsya teoriya simvola, primenyaetsya modifikatsiya lokal"nogo printsipa Gokhberga-Krupnika, prigodnaya dlya ispol"zovaniya v nekotorykh topologicheskikh algebrakh, otlichnykh ot banakhovykh. V terminakh simvola polucheny kriterii obratimosti i neterovosti, dany konstruktsii obobshchennykh obratnykh operatorov, opisany defektnye podprostranstva i obrazy rassmatrivaemykh operatorov. Material monografii mozhet byt" polezen studentam starshikh kursov, magistram, aspirantam i spetsialistam, interesuyushchimsya teoriey operatorov tipa svertki, teoriey kraevykh zadach dlya analiticheskikh funktsiy.