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Fuzzy normed linear spaces extend conventional normed spaces by integrating a degree of imprecision through fuzzy set theory, thereby quantifying uncertainty in the measurement of vector magnitude. In ...

This is a subject I struggled with the first time I took it. Ironically, this was the engineering version of it. It wasn't until I took the rigorous, axiomatic version that everything clicked.

Let Ω ⊂ ℝp, p ϵ ℕ* be a nonempty subset and B(Ω) be the Branch lattice of all bounded real functions on a Ω, equipped with sup norm. Let 𝑋 ⊂ 𝐵(Ω) be a linear sublattice of 𝐵(Ω) and 𝐴: 𝑋 → 𝑋 be a ...

Let M be a von Neumann algebra and let φ be a normal linear functional on a strongly closed C*-subalgebra N of M. Denote by Fφ the set of normal linear functionals ψ on M extending φ with |ψ| = |φ|.