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Disjointly improjective operators and domination problem. (English) Zbl 1508.47085

Summary: In this work, we introduce the disjointly improjective operators between Banach lattices. We investigate this class of operators. Also, we extend the Flores-Hernández’s theorem [J. Flores and F. L. Hernández, Proc. Am. Math. Soc. 129, No. 7, 1979–1986 (2001; Zbl 1147.47300)] on the domination problem by disjoint strictly singular operator.

MSC:

47B65 Positive linear operators and order-bounded operators
46B42 Banach lattices

Citations:

Zbl 1147.47300
Full Text: DOI

References:

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