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Gallardo Gutiérrez, Eva A. ; González, María J. ; Nieminen, Pekka J. ; Saksman, Eero | Elsvier | 2008We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a[...]texto impreso
A remarkable result by Denjoy and Wolff states that every analytic self-map. of the open unit disc D of the complex plane, except an elliptic automorphism, has an attractive fixed point to which the sequence of iterates {phi(n)}(n > = 1) converg[...]
