51 citations · 118 across the 25 of their papers we have counts for
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math.FA2001★ 15 cited
Narrow operators and the Daugavet property for ultraproducts
Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy +1
We show that if is a narrow operator on or , then the restrictions to and are narrow and conversely. We…
math.FA2001★ 1 cited
Narrow operators on vector-valued sup-normed spaces
Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy +2
We characterise narrow and strong Daugavet operators on -spaces; these are in a way the largest sensible classes of operators for which the norm equation $\|Id+T\| = 1+\|T\…