Geodesic
The Maximal Ideal Space of Subalgebras of the Disk Algebra
Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 61-65

Voir la notice de l'article provenant de la source Cambridge

DOI

Let X be a compact Hausdorff space and C(X) the complexvalued continuous functions on X. We say A is a function algebra on X if A is a point separating, uniformly closed subalgebra of C(X) containing the constant functions. Equipped with the sup-norm ‖f‖ = sup{|f(x)|: x ∊ X} for f ∊ A, A is a Banach algebra. Let MA denote the maximal ideal space.Let D be the closed unit disk in C and let U be the open unit disk. We call A(D)={f ∊ C(D):f is analytic on U} the disk algebra. Let T be the unit circle and set C1(T) = {f ∊ C(T): f'(t) ∊ C(T)}. 
Lund, Bruce. The Maximal Ideal Space of Subalgebras of the Disk Algebra. Canadian mathematical bulletin, Tome 18 (1975) no. 1, pp. 61-65. doi: 10.4153/CMB-1975-012-x
@article{10_4153_CMB_1975_012_x,
     author = {Lund, Bruce},
     title = {The {Maximal} {Ideal} {Space} of {Subalgebras} of the {Disk} {Algebra}},
     journal = {Canadian mathematical bulletin},
     pages = {61--65},
     year = {1975},
     volume = {18},
     number = {1},
     doi = {10.4153/CMB-1975-012-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-012-x/}
}
TY  - JOUR
AU  - Lund, Bruce
TI  - The Maximal Ideal Space of Subalgebras of the Disk Algebra
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 61
EP  - 65
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-012-x/
DO  - 10.4153/CMB-1975-012-x
ID  - 10_4153_CMB_1975_012_x
ER  - 
%0 Journal Article
%A Lund, Bruce
%T The Maximal Ideal Space of Subalgebras of the Disk Algebra
%J Canadian mathematical bulletin
%D 1975
%P 61-65
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-012-x/
%R 10.4153/CMB-1975-012-x
%F 10_4153_CMB_1975_012_x

Cité par Sources :