Extended results on f-orthomorphisms over the second order dual of an f-algebra
نویسندگان
چکیده
منابع مشابه
f-Orthomorphisms and f-Linear Operators on the Order Dual of an f-Algebra
and Applied Analysis 3 It should be noted that the mapping V : A∼ n → Orth A∼ defined by V F VF for all F ∈ A∼ n, where VF f F · f for every f ∈ A∼, is an algebra and Riesz isomorphism cf. 2, Proposition 2.2 . Theorem 2.1. For 0 ≤ f ∈ A∼, Tf is an interval preserving lattice homomorphism. Proof. Clearly, Tf is linear and positive. Since the mapping V is a lattice homomorphism and VF, VG ∈ Orth ...
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ژورنال
عنوان ژورنال: Pure Mathematical Sciences
سال: 2013
ISSN: 1314-7560
DOI: 10.12988/pms.2013.13013