Abstract
Operator theory is part and parcel of functional analysis whose own name is not unlikely to be consonant with a simplest operator, a functional. The theory of vector and Banach lattices began with distinguishing and studying the order properties of functionals and operators.
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Bukhvalov, A.V. (1996). Operator Classes Determined by Order Conditions. In: Kutateladze, S.S. (eds) Vector Lattices and Integral Operators. Mathematics and Its Applications, vol 358. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0195-7_2
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DOI: https://doi.org/10.1007/978-94-009-0195-7_2
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