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Dati due operatori chiusi (non limitati) e in uno spazio di Banach , si prova che gli spazi d'interpolazione reale tra e sono l'intersezione dei corrispondenti spazi d'interpolazione tra e da una parte e e dall'altra parte, sotto opportune ipotesi su e che non implicano la commutatività delle risolventi di e (Risposta parziale a una domanda di Peetre [3]).
Si definisce un nuovo tipo di spazi a partire da un dato spazio di Banach e da un operatore lineare in . Tali spazi si possono pensare come spazi di interpolazione con negativo.
Si definisce un nuovo tipo di spazi a partire da un dato spazio di Banach e da un operatore lineare in . Tali spazi si possono pensare come spazi di interpolazione con negativo.
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