RT Journal Article T1 Composition operators between algebras of uniformly continuous functions A1 Llavona, José G. A1 Lacruz, Miguel AB A characterization of uniform continuity for maps between unit balls of real Banach spaces is given in terms of universal properties. Also, it is shown that the classesof compact and weakly compact composition operators induced by such maps agree. PB Birkhäuser Verlag SN 0003-889X YR 1997 FD 1997 LK https://hdl.handle.net/20.500.14352/57499 UL https://hdl.handle.net/20.500.14352/57499 LA eng NO R. M. ARON, J. GÓMEZ and J. G. LLAVONA, Homomorphisms between algebras of differentiable functions in infinite dimensions. Michigan Math. J. 35, 163 – 178 (1988).M. EIDELHEIT, Concerning rings of continuous functions. Ann. of Math. (2) 41, 391 – 393 (1940).M. GONZÁLEZ and J.M. GUTIÉRREZ, Compact and weakly compact homomorphisms between algebras of differentiable functions. Proc. Amer. Math. Soc. 115, 1025 – 1029 (1992).M. GONZÁLEZ and J. M. GUTIÉRREZ, Schauder type theorems for differentiable and holomorphic functions. Monatsh. Math., to appear.M. GONZÁLEZ and J. M. GUTIÉRREZ, Gantmacher type theorems for holomorphic mappings. Math. Nachr., to appear.J. JARAMILLO and J. G. LLAVONA, On the spectrum of C1b. E..Math. Ann.287, 531-538 (1990).H. KAMOWITZ, Compact endomorphisms of Banach algebras. Pacific J. Math. 89, 313 – 325 (1980).M. LINDSTRÖM and J. G. LLAVONA, Compact and weakly compact homomorphisms between algebras of continuous functions. J. Math. Anal. Appl. 166, 325 – 330 (1992).R. K. SINGH and W. H. SUMMERS, Compact and weakly compact composition operators on spaces of vector valued continuous functions. Proc. Amer. Math. Soc. 99, 667 – 670 (1987). NO Dirección General de Investigación, Ciencia y Tecnología DS Docta Complutense RD 2 may 2024