On Borel classes of sets of Frechet subdifferentiability

• Autorzy: Kurka O.
• Języki publikacji: EN

Abstrakty

EN

We study possible Borel classes of sets of Frechet subdifferentiability of continuous functions on reflexive spaces.

Słowa kluczowe

EN

set of Frechet subdifferentiability; ∑[...]-complete set

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 3
• Strony: 201--209
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kurka O.

• Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University Sokolovska 83, 186 75 Praha 8, Czech Republic,

Bibliografia

• [1] A. M. Bruckner, Differentiation of Real Functions, Lecture Notes in Math. 659, Springer, 1978.
• [2] A. S. Kechris, Classical Descriptive Set Theory, Grad. Texts in Math. 156, Springer, New York, 1995.
• [3] O. Kurka, Reflexivity and sets of Frechet Subdifferentiability, 2007/230 at http://www.karlin.nifT.cuni.cz/knia-preprints/.
• [4] M. Smidek, Measurability of some subsets of spaces of functions, Charles Univ., 1994 (in Czech).
• [5] Z. Zahorski, Sur la premiere derivee, Trans. Arner. Math. Soc. 69 (1950), 1-54.
• [6] L. Zajicek, Frechet differentiability, strict differentiability and Subdifferentiability, Czechoslovak Math. J. 41 (1991), 471-489.