ALGEBRAIC STRUCTURES IN THE SPACES OFLIPSCHITZ FUNCTIONS
DOI:
https://doi.org/10.31471/2304-7399-2018-2(46)-21-25Keywords:
algebras of Lipschitz functions, free Banach spaces.Abstract
The algebra of Lipschitz functions of the metric space and their scalar homomorphisms are studied in this paper, using free Banach spaces.
References
Dubei M. Free Banach Spaces and Extension of Lipschitz Maps / M. Dubei, E. D. Tymchatyn, A. Zagorodnyuk // Topology, Elsevier. – 2009. – V. 48, No 2. – P. 203-213.
Flood J. Free topological vector spaces / J. Flood. – Candberra: Australian National University, 1975. – 109 p. (Ph.D. thesis).
Godefroy G. Free Banach spaces and the approximation properties / G. Godefroy, N. Ozawa // Proc. Amer. Math. Soc. – 2014. – V. 142, No 5. – P. 1681-1687.
Pestov V. Douady's conjecture on Banach analytic spaces / V. Pestov // C.R. Acad. Sci. Paris – 1994. – V. 319, séries I. – P. 1043-1048.
Weaver N. Lipschitz Algebras / N. Weaver. – Singapore, New Jersey, London, Hong Kong: World Scientific, 1999. – 323 p.
