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Order-bounded operators in vector lattices and in spaces of measurable functions

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Abstract

The survey is devoted to the presentation of the state of the art of a series of directions of the theory of order-bounded operators in vector lattices and in spaces of measurable functions. The theory of disjoint operators, the generalized Hewitt-Yosida theorem, the connection with p-absolutely summing operators are considered in detail.

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  1. A. V. Bukhvalov
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Translated from Itogi Nauki i Tekhniki, Seriya Matematicheskii Analiz, Vol. 26, pp. 3–63, 1988.

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Bukhvalov, A.V. Order-bounded operators in vector lattices and in spaces of measurable functions. J Math Sci 54, 1131–1176 (1991). https://doi.org/10.1007/BF01322066

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