Lasry-Lions regularization and a lemma of Ilmanen
Patrick Bernard (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Ilmanen’s lemma on insertion of C functions”
Lasry-Lions regularization and a lemma of Ilmanen
On the use of semi-closed sets and functions in convex analysis
Constantin Zălinescu (2015)
Open Mathematics
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The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known results using Moreau-Rockafellar type conditions.
Some remarks on subdifferentiability of convex functions.
Laghdir, Mohamed (2005)
Applied Mathematics E-Notes [electronic only]
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Pták homomorphism theorem revisited
J. R. Ferrer, M. López Pellicer, L. M. Sánchez Ruiz (2000)
Czechoslovak Mathematical Journal
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Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták’s homomorphism theorem.
Some new classes of topological vector spaces with closed graph theorems
Brian Rodrigues (1991)
Commentationes Mathematicae Universitatis Carolinae
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In this note, we investigate non-locally-convex topological vector spaces for which the closed graph theorem holds. In doing so, we introduce new classes of topological vector spaces. Our study includes a direct extension of Pták duality to the non-locally-convex situation.