Impacto
Downloads
Downloads per month over past year
Biström, P. and Jaramillo Aguado, Jesús Ángel and Lindström, M. (1995) Algebras of Real AnalyticFunctions ; Homomorphisms and BoundingSets. Studia Mathematica, 115 (1). pp. 2337. ISSN 00393223

PDF
525kB 
Official URL: http://dmle.cindoc.csic.es/pdf/EXTRACTAMATHEMATICAE_1993_08_0203_07.pdf
URL  URL Type 

http://www.icm.edu.pl/  Organisation 
Abstract
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.
Item Type:  Article 

Uncontrolled Keywords:  Bounding sets in real Banach spaces; relatively weakly compact; homomorphisms; function algebras 
Subjects:  Sciences > Mathematics > Functional analysis and Operator theory 
ID Code:  16762 
Deposited On:  19 Oct 2012 08:30 
Last Modified:  06 Aug 2018 11:34 
Origin of downloads
Repository Staff Only: item control page