A note on a generalized cohomology equation

• Autorzy: K. Krzyżewski
• Języki publikacji: EN

Abstrakty

EN

We give a necessary and sufficient condition for the solvability of a generalized cohomology equation, for an ergodic endomorphism of a probability measure space, in the space of measurable complex functions. This generalizes a result obtained in [7].

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 2
• Strony: 279-283

Daty

wydano

2000

otrzymano

1999-08-02

Twórcy

autor

K. Krzyżewski

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] S. Banach et S. Saks, Sur la convergence forte dans les champs $L^{p}$, Studia Math. 2 (1930), 51-57.
• [2] N. Dunford and J. T. Schwartz, Linear Operators, Part I: General Theory, Interscience, New York, 1958.
• [3] K. Krzyżewski, On regularity of measurable solutions of a cohomology equation, Bull. Polish Acad. Sci. Math. 37 (1989), 279-287.
• [4] K. Krzyżewski, On 4-lacunary sequences generated by ergodic toral endomorphisms, Proc. Amer. Math. Soc. 118 (1993), 469-478.
• [5] K. Krzyżewski, On 4-lacunary sequences generated by some measure preserving maps, Acta Math. Hungar. 74 (1997), 261-278.
• [6] K. Krzyżewski, On some Sidon sequences, Internat. J. Bifurcation Chaos 9 (1999), 1785-1793.
• [7] J. Kwiatkowski, M. Lemańczyk and D. Rudolph, Weak isomorphism of meas- ure-preserving diffeomorphisms, Israel J. Math. 80 (1992), 33-64.
• [8] F. Riesz and B. Sz.-Nagy, Leçons d'Analyse Fonctionnelle, Akadémiai Kiadó, Budapest, 1952.