Boundary value problems for linear operators in ordered Banach spaces
Gerd Herzog, Christoph Schmoeger (2010)
Studia Mathematica
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We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E*) in ordered Banach spaces.
Gerd Herzog, Christoph Schmoeger (2010)
Studia Mathematica
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We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E*) in ordered Banach spaces.
S. Todorcevic (1978)
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Milan R. Tasković (1980)
Publications de l'Institut Mathématique
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Colloquium Mathematicae
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Đ. Kurepa (1953)
Matematički Vesnik
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Discussiones Mathematicae - General Algebra and Applications
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The notion of a half lc-group G is a generalization of the notion of a half linearly ordered group. A completion of G by means of Dedekind cuts in linearly ordered sets and applying Świerczkowski's representation theorem of lc-groups is constructed and studied.