Lattice properties of integral operators
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- Proc. Amer. Math. Soc. 72 (1978), 497-500 Request permission
Abstract:
In this paper we are concerned with linear operators $K:L \to M$, where L is a Riesz subspace of measurable, finite a.e. functions and M is the class of all measurable, finite a.e. functions defined by $k(x,y)$ is a measurable kernel. It will be shown that the class $I[L,M]$ of all such integral operators is a Dedekind complete Riesz space, an ideal and a band in the space of order bounded linear maps $T:L \to M$.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 497-500
- MSC: Primary 47B38; Secondary 47G05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0509241-4
- MathSciNet review: 509241