A well-known result due to W.B. Johnson (1971) asserts that the forma lidentity operator from l_1 into l_∞ is universal for the class of non-compact operators between Banach spaces.We show that there is neither a universal non-compact polynomial nor a universal non-unconditionally converging polynomial between Banach spaces.
Nonexistence of certain universal polynomials between Banach spaces
CILIA, Raffaela Giovanna;
2015-01-01
Abstract
A well-known result due to W.B. Johnson (1971) asserts that the forma lidentity operator from l_1 into l_∞ is universal for the class of non-compact operators between Banach spaces.We show that there is neither a universal non-compact polynomial nor a universal non-unconditionally converging polynomial between Banach spaces.File in questo prodotto:
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