Functionals on Real C(S)
1978 ◽
Vol 30
(03)
◽
pp. 490-498
◽
Keyword(s):
The maximal ideals in a commutative Banach algebra with identity have been elegantly characterized [5; 6] as those subspaces of codimension one which do not contain invertible elements. Also, see [1]. For a function algebra A, a closed separating subalgebra with constants of the algebra of complex-valued continuous functions on the spectrum of A, a compact Hausdorff space, this characterization can be restated: Let F be a linear functional on A with the property: (*) For each ƒ in A there is a point s, which may depend on f, for which F(f) = f(s).
1966 ◽
Vol 62
(4)
◽
pp. 649-666
◽
1978 ◽
Vol 30
(01)
◽
pp. 66-84
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Keyword(s):
2010 ◽
Vol 88
(3)
◽
pp. 289-300
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1974 ◽
Vol 26
(02)
◽
pp. 405-411
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Keyword(s):
1990 ◽
Vol 42
(5)
◽
pp. 776-789
◽
2013 ◽
Vol 56
(2)
◽
pp. 419-426
◽