島根大学文理学部
島根大学文理学部紀要. 理学科編

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島根大学文理学部紀要. 理学科編 Volume 11
published_at 1977-12-20

リース空間上の線型位相

Linear Space Topologies on Riesz Spaces
Murakami Riitiro
full_text_file
c0030011r004.pdf ( 510 KB )
Descriptions
In the Lebesgue integration theory, Dominated Convergence theorem plays a very important role. It combines an order and a topology. So we abstract it on Riesz spaces and father define another linear space topology and call it a semi-Lebesgue topology. We discuss some relations between this and another linear space topologies om Riesz spaces.