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| Paper IPM / M / 8878 |
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| Abstract: | |
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A real linear space X equipped with a probabilistic-valued function (! defined on X is called a probabilistic modular space if it satisfies the following conditions:
i.ρx(0)=0, ii. ρx(t)=1 for all t > 0 iff x = 0, iii. ρ−x(t)=ρx(t), iv. ραx+βy(s+t) ≥ ρx(s)∧ρy(t) for all x,y ∈ X, and α, β, s, t ∈ R0+, α+ β = 1 Download TeX format |
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