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Some properties of the set of functionals which attain their supremum on the unit sphere

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Publication:1216807
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DOI10.1007/BF01086055zbMath0304.46005OpenAlexW1965828071MaRDI QIDQ1216807

Yu. I. Petunin, Anatolij M. Plichko

Publication date: 1974

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086055



Mathematics Subject Classification ID

Duality and reflexivity in normed linear and Banach spaces (46B10)


Related Items (8)

Extremal structure and duality of Lipschitz free spaces ⋮ Condition of conjugacy of WCG-spaces ⋮ Injectivity of Lipschitz operators ⋮ Some properties of polyhedral Banach spaces ⋮ Polyhedral Banach spaces ⋮ Biduality in weighted spaces of analytic functions ⋮ A characterization of conjugate WCG Banach spaces ⋮ Free spaces over countable compact metric spaces



Cites Work

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  • On simultaneous approximation and interpolation which preserves the norm
  • Reflexivity and the sup of linear functionals
  • A proof that every Banach space is subreflexive


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