Universal elements for families of discontinuous mappings

• Autorzy: Herzog G. , Lemmert R.
• Języki publikacji: EN

Abstrakty

EN

We extend a result of K.-G. Grofie-Erdmann on residuality of universal elements for families of continuous mappings to families of quasicontinuous mappings in the sense of Kempisty.

Słowa kluczowe

EN

manifolds; hypercyclic operators

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 1
• Strony: 199--204
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Herzog G.

• Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany

autor

Lemmert R.

• Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Bibliografia

• [1] J. Bes and A. Peris, Hereditarily hypercyclic operators. J. Funct. Anal. 167 (1999), 94-112.
• [2] P. S. Bourdon, Invariant manifolds of hypercyclic vectors. Proc. Amer. Math. Soc. 118 (1993), 845-847.
• [3] G. Godefroy and J. H. Shapiro, Operators with dense, invariant cyclic vector manifolds. J. Funct. Anal. 98 (1991), 229-269.
• [4] K.-G. Große-Erdmann, Holomorphe Monster und universelle Funktionen. Mitt. Math. Sem. Giessen 176 (1987), 1-84.
• [5] K.-G. Große-Erdmann, Universal families and hypercyclic operators. Bull. Amer. Math. Soc. 36 (1999), 345-381.
• [6] I. Joó, On the divergence of eigenfunction expansions. Ann. Univ. Sei. Budapest Eötvös Sect. Math. 32 (1989), 3-36.
• [7] Y. Katznelson and K. Stromberg, Everywhere differentiate, nowhere monotone, functions. Amer. Math. Monthly 81 (1974), 349-354.
• [8] S. Kempisty, Sur les fonctions quasicontinues. Fund. Math. 19 (1932), 184-197.
• [9] M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities. PWN, Warsaw 1985.