Order-bounded operators in vector lattices and spaces of measurable functions
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 26 (1988), pp. 3-63
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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.
@article{INTM_1988_26_a0,
author = {A. V. Bukhvalov},
title = {Order-bounded operators in vector lattices and spaces of measurable functions},
journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
pages = {3--63},
year = {1988},
volume = {26},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTM_1988_26_a0/}
}
A. V. Bukhvalov. Order-bounded operators in vector lattices and spaces of measurable functions. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 26 (1988), pp. 3-63. http://geodesic.mathdoc.fr/item/INTM_1988_26_a0/