A Stone-Weierstrass theorem for Banach lattices
نویسندگان
چکیده
منابع مشابه
A Banach-stone Theorem for Riesz Isomorphisms of Banach Lattices
Let X and Y be compact Hausdorff spaces, and E, F be Banach lattices. Let C(X,E) denote the Banach lattice of all continuous E-valued functions on X equipped with the pointwise ordering and the sup norm. We prove that if there exists a Riesz isomorphism Φ : C(X,E) → C(Y, F ) such that Φf is non-vanishing on Y if and only if f is non-vanishing on X, then X is homeomorphic to Y , and E is Riesz i...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1973
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-47-1-75-82