Subdifferentiability of infimal convolution on Banach couples

Natan Kruglyak; Japhet Niyobuhungiro

doi:10.7169/facm/2015.52.2.9

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Home > Journals > Funct. Approx. Comment. Math. > Volume 52 > Issue 2 > Article

June 2015 Subdifferentiability of infimal convolution on Banach couples

Natan Kruglyak, Japhet Niyobuhungiro

Funct. Approx. Comment. Math. 52(2): 311-326 (June 2015). DOI: 10.7169/facm/2015.52.2.9

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Abstract

We use duality in convex analysis and particularly the famous Attouch-Brezis theorem to prove subdifferentiability of infimal convolution on Banach couples.

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Natan Kruglyak. Japhet Niyobuhungiro. "Subdifferentiability of infimal convolution on Banach couples." Funct. Approx. Comment. Math. 52 (2) 311 - 326, June 2015. https://doi.org/10.7169/facm/2015.52.2.9

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Published: June 2015

First available in Project Euclid: 18 June 2015

zbMATH: 06862265

MathSciNet: MR3358323

Digital Object Identifier: 10.7169/facm/2015.52.2.9

Subjects:

Primary: 46B70

Secondary: 46E35

Keywords: infimal convolution , real interpolation , subdifferentiability

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Funct. Approx. Comment. Math.

Vol.52 • No. 2 • June 2015

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Natan Kruglyak, Japhet Niyobuhungiro "Subdifferentiability of infimal convolution on Banach couples," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 52(2), 311-326, (June 2015)

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