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A variant of Grothendieck's theorem on weak* convergent sequences

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Publication:1901989
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DOI10.1007/BF01195095zbMath0855.46018MaRDI QIDQ1901989

Helmut H. Schaefer, Xiao-Dong Zhang

Publication date: 9 February 1997

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


zbMATH Keywords

space of continuous functionsweak* convergencecompact quasi-Stonian spacesequentially order continuous linear functionals


Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15)


Related Items (3)

Dixmier’s theorem for sequentially order continuous Baire measures on compact spaces ⋮ Operators on the space of bounded strongly measurable functions ⋮ A Grothendieck-type theorem for the space of totally measurable functions




Cites Work

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  • A note on order bounded vector measures
  • Sequential Convergence in the Order Duals of Certain Classes of Riesz Spaces
  • Weak Compactness in the Order Dual of a Vector Lattice
  • Measures on F-Spaces




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