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- W2604863013 abstract "We characterise narrow and strong Daugavet operators on C(K, E)-spaces; these are in a way the largest sensible classes of opera- tors for which the norm equation kId+Tk = 1+kTk is valid. For certain separable range spaces E including all finite-dimensional ones and locally uniformly convex ones we show that an unconditionally pointwise con- vergent sum of narrow operators on C(K, E) is narrow, which implies for instance the known result that these spaces do not have uncondi- tional FDDs. In a different vein, we construct two narrow operators on C((0,1), l1) whose sum is not narrow." @default.
- W2604863013 created "2017-04-14" @default.
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- W2604863013 date "2001-01-01" @default.
- W2604863013 modified "2023-10-11" @default.
- W2604863013 title "2000)Primary 46B20; secondary 46B04, 46B28, 46E40, 47B38 NARROW OPERATORS ON VECTOR-VALUED SUP-NORMED SPACES" @default.
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