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  • Let X be a Banach space whose norm is LUR. Under some mild assumptions, it is shown that the supremal convolution of a fairly general function on X and the square of the norm is generically strongly attained. This contains a recent result of Bandyopadhyay and Dutta on farthest distance functions.
  • Let X be a Banach space whose norm is LUR. Under some mild assumptions, it is shown that the supremal convolution of a fairly general function on X and the square of the norm is generically strongly attained. This contains a recent result of Bandyopadhyay and Dutta on farthest distance functions. (en)
Title
  • Attainment and (sub)differentiability of the supremal convolution of a function and the square of the norm
  • Attainment and (sub)differentiability of the supremal convolution of a function and the square of the norm (en)
skos:prefLabel
  • Attainment and (sub)differentiability of the supremal convolution of a function and the square of the norm
  • Attainment and (sub)differentiability of the supremal convolution of a function and the square of the norm (en)
skos:notation
  • RIV/49777513:23520/12:43915054!RIV13-MSM-23520___
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  • P(GAP201/12/0290), P(MEB021024), Z(AV0Z10190503), Z(MSM4977751301)
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  • 1
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  • 124039
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  • RIV/49777513:23520/12:43915054
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  • Locally uniformly rotund norm; Fréchet and Gateaux differentiability; Densely remotal set; Farthest distance function; Subdifferential; Dense Gdelta set; Strong attainment; Supremal convolution (en)
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  • [AA6469B6F6B3]
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  • Journal of Mathematical Analysis and Applications
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  • 393
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  • Cibulka, Radek
  • Fabian, Marián
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  • 0022-247X
number of pages
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  • 10.1016/j.jmaa.2012.03.052
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  • 23520
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