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Extension of Vector Lattice Homomorphisms
Journal of the London Mathematical Society, 1986Suppose B is a complete Boolean algebra, D a distributive lattice and \(\phi\) a lattice homomorphism from a sublattice, \(D_ 0\), of D, into B, then \(\phi\) can be extended to a lattice homomorphism of D into B. This generalizes Sikorski's extension theorem for Boolean algebras. It also leads to a new proof that if N is a complete vector lattice, L a
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On Property (b) of Vector Lattices
Positivity, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Altin, BİROL, Alpay, S, Tonyali, C
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On Vector Lattice-Valued Measures
Canadian Mathematical Bulletin, 1965E. Hewitt [1] used the Daniell approach to define a real-valued measure function on a σ-algebra of the real line. He began by defining an arbitrary non-negative linear functional I on L∞ ∞(R), (the space of all complex-valued continuous functions on the real line R which vanish off some compact subset of R).
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Canadian Journal of Mathematics, 1980
Let G be a lattice-ordered group (l-group). If X ⊆ G, then letThen X’ is a convex l-subgroup of G called a polar. The set P(G) of all polars of G is a complete Boolean algebra with ‘ as complementation and set-theoretic intersection as meet. An l-subgroup H of G is large in G (G is an essential extension of H) if each non-zero convex l-subgroup of G ...
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Let G be a lattice-ordered group (l-group). If X ⊆ G, then letThen X’ is a convex l-subgroup of G called a polar. The set P(G) of all polars of G is a complete Boolean algebra with ‘ as complementation and set-theoretic intersection as meet. An l-subgroup H of G is large in G (G is an essential extension of H) if each non-zero convex l-subgroup of G ...
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PRIME VECTORS IN DEGENERATE LATTICES
Mathematics of the USSR-Sbornik, 1986Translation from Mat. Sb., Nov. Ser. 126 (168), No.3, 291-306 (Russian) (1985; Zbl 0578.10044).
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Integration in Vector Lattices
Journal of the London Mathematical Society, 1975openaire +1 more source
4.1.1.3.1 Lattice vectors, reciprocal lattice vectors
2005R. F. Wallis, S. Y. Tong
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