Abstract
In the current chapter, we study disjointness preserving operators in vector lattices and lattice-normed spaces. We will concentrate mainly on decomposition and analytical representation of disjointness preserving operators. Somewhat more general class comprises n-disjoint operators (5.2.1). A dominated operator is n-disjoint if and only if it is representable as a sum of n disjointness preserving dominated operators (5.2.7). Thus, the space of n-disjoint operators has a rather simple structure similar to that of disjointness preserving operators.
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© 2000 Springer Science+Business Media Dordrecht
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Kusraev, A.G. (2000). Disjointness Preserving Operators. In: Dominated Operators. Mathematics and Its Applications, vol 519. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9349-6_5
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DOI: https://doi.org/10.1007/978-94-015-9349-6_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5528-6
Online ISBN: 978-94-015-9349-6
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