RT Journal Article
T1 Algebras of Real Analytic-Functions ; Homomorphisms and Bounding-Sets
A1 Biström, P.
A1 Jaramillo Aguado, Jesús Ángel
A1 Lindström, M.
AB This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E), the algebra of real analytic functions on E, as well as to various subalgebras of A(E). These bounding sets are shown to be relatively weakly compact and the question whether they are always relatively compact in the norm topology is reduced to the study of the action on the set of unit vectors in l(infinity) of the corresponding functions in A(l(infinity)). These results are achieved by studying the homomorphisms on the function algebras in question, an idea that is also reversed in order to obtain new results for the set of homomorphisms on these algebras.
PB Polish Acad Sciences Inst Mathematics
SN 0039-3223
YR 1995
FD 1995
LK https://hdl.handle.net/20.500.14352/57605
UL https://hdl.handle.net/20.500.14352/57605
LA eng
DS Docta Complutense
RD 18 abr 2025