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On binary-type approximations in vector lattices

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Publication:1337812
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DOI10.1007/BF01193743zbMath0805.46005MaRDI QIDQ1337812

Zbigniew Lipecki

Publication date: 13 November 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

idealvector latticeband projectionFreudenthal's spectral theorembinary-type approximationstrongly zero-dimensional \(F\)-space


Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Ordered topological linear spaces, vector lattices (46A40) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)


Related Items (2)

On multipliers and \(L\)- and \(M\)-projections in Banach lattices and Köthe function spaces ⋮ Approximations of the Korovkin type in Banach lattices




Cites Work

  • On extreme extensions of quasi-measures
  • U-algebras and the Hahn–Banach extension theorem
  • A Sequentially Convex Hull
  • Rotundity, the C.S.R.P., and the λ-Property in Banach Spaces
  • Components in vector lattices and extreme extensions of quasi-measures and measures
  • Simple Extreme Points
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