INTEGRATION IN LATTICE SPACES
ABSTRACT
This thesis aims to broaden the concept of integration with respect to a measure by extending it to lattice spaces. The paper begins by providing a concise overview of integration with respect to a measure on the real line, emphasizing its fundamental aspects. Subsequently, it introduces the Bochner integral, a construction of an integral on Banach spaces. Finally, the primary objective of the thesis, integration on lattice spaces, is thoroughly explored and discussed.
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