Geodesic
Approximate identities in Banach function algebras
H. G. Dales1 ; A. Ülger2
1 Department of Mathematics and Statistics University of Lancaster Lancaster LA1 4YF, United Kingdom
2 Department of Mathematics Koç University 34450 Sariyer–Istanbul, Turkey
Studia Mathematica, Tome 226 (2015) no. 2, pp. 155-187

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this paper, we shall study contractive and pointwise contractive Banach function algebras, in which each maximal modular ideal has a contractive or pointwise contractive approximate identity, respectively, and we shall seek to characterize these algebras. We shall give many examples, including uniform algebras, that distinguish between contractive and pointwise contractive Banach function algebras. We shall describe a contractive Banach function algebra which is not equivalent to a uniform algebra. We shall also obtain results about Banach sequence algebras and Banach function algebras that are ideals in their second duals.
DOI : 10.4064/sm226-2-3
Keywords: paper shall study contractive pointwise contractive banach function algebras which each maximal modular ideal has contractive pointwise contractive approximate identity respectively shall seek characterize these algebras shall many examples including uniform algebras distinguish between contractive pointwise contractive banach function algebras shall describe contractive banach function algebra which equivalent uniform algebra shall obtain results about banach sequence algebras banach function algebras ideals their second duals

H. G. Dales 1 ; A. Ülger 2

1 Department of Mathematics and Statistics University of Lancaster Lancaster LA1 4YF, United Kingdom
2 Department of Mathematics Koç University 34450 Sariyer–Istanbul, Turkey 
@article{10_4064_sm226_2_3,
     author = {H. G. Dales and A. \"Ulger},
     title = {Approximate identities in {Banach} function algebras},
     journal = {Studia Mathematica},
     pages = {155--187},
     publisher = {mathdoc},
     volume = {226},
     number = {2},
     year = {2015},
     doi = {10.4064/sm226-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm226-2-3/}
}
TY  - JOUR
AU  - H. G. Dales
AU  - A. Ülger
TI  - Approximate identities in Banach function algebras
JO  - Studia Mathematica
PY  - 2015
SP  - 155
EP  - 187
VL  - 226
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm226-2-3/
DO  - 10.4064/sm226-2-3
LA  - en
ID  - 10_4064_sm226_2_3
ER  - 
%0 Journal Article
%A H. G. Dales
%A A. Ülger
%T Approximate identities in Banach function algebras
%J Studia Mathematica
%D 2015
%P 155-187
%V 226
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm226-2-3/
%R 10.4064/sm226-2-3
%G en
%F 10_4064_sm226_2_3
H. G. Dales; A. Ülger. Approximate identities in Banach function algebras. Studia Mathematica, Tome 226 (2015) no. 2, pp. 155-187. doi: 10.4064/sm226-2-3

Cité par Sources :